1210774006440 has 384 divisors, whose sum is σ = 4129024273920. Its totient is φ = 319069497600.

The previous prime is 1210774006439. The next prime is 1210774006441. The reversal of 1210774006440 is 446004770121.

It is a happy number.

1210774006440 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 7 + 7 + 4 + 0 + 0 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1210774006439) and next prime (1210774006441).

It is a super-2 number, since 2×1210774006440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1210774006395 and 1210774006404.

It is not an unprimeable number, because it can be changed into a prime (1210774006441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 510658455 + ... + 510660825.

It is an arithmetic number, because the mean of its divisors is an integer number (10752667380).

Almost surely, 2^{1210774006440} is an apocalyptic number.

1210774006440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210774006440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064512136960).

1210774006440 is an abundant number, since it is smaller than the sum of its proper divisors (2918250267480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1210774006440 is a wasteful number, since it uses less digits than its factorization.

1210774006440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 1210774006440 its reverse (446004770121), we get a palindrome (1656778776561).

The spelling of 1210774006440 in words is "one trillion, two hundred ten billion, seven hundred seventy-four million, six thousand, four hundred forty".