1413936477960 has 256 divisors, whose sum is σ = 4386930831360. Its totient is φ = 364342302720.

The previous prime is 1413936477883. The next prime is 1413936477971. The reversal of 1413936477960 is 697746393141.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1413936477894 and 1413936477903.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 246198849 + ... + 246204591.

It is an arithmetic number, because the mean of its divisors is an integer number (17136448560).

Almost surely, 2^{1413936477960} is an apocalyptic number.

1413936477960 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 1413936477960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193465415680).

1413936477960 is an abundant number, since it is smaller than the sum of its proper divisors (2972994353400).

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

1413936477960 is a wasteful number, since it uses less digits than its factorization.

1413936477960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6268 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 60.

The spelling of 1413936477960 in words is "one trillion, four hundred thirteen billion, nine hundred thirty-six million, four hundred seventy-seven thousand, nine hundred sixty".