1461364366410 has 192 divisors, whose sum is σ = 4152302009856. Its totient is φ = 354410380800.

The previous prime is 1461364366321. The next prime is 1461364366417. The reversal of 1461364366410 is 146634631641.

1461364366410 is a `hidden beast` number, since 1 + 4 + 6 + 136 + 43 + 66 + 410 = 666.

It is a super-2 number, since 2×1461364366410² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1461364366417) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 140632315 + ... + 140642705.

It is an arithmetic number, because the mean of its divisors is an integer number (21626572968).

Almost surely, 2^{1461364366410} is an apocalyptic number.

1461364366410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461364366410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076151004928).

1461364366410 is an abundant number, since it is smaller than the sum of its proper divisors (2690937643446).

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

1461364366410 is a wasteful number, since it uses less digits than its factorization.

1461364366410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12181 (or 12178 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 1461364366410 in words is "one trillion, four hundred sixty-one billion, three hundred sixty-four million, three hundred sixty-six thousand, four hundred ten".