403816008960 has 2592 divisors, whose sum is σ = 1934237854080. Its totient is φ = 79222800384.

The previous prime is 403816008941. The next prime is 403816008961. The reversal of 403816008960 is 69800618304.

403816008960 is a `hidden beast` number, since 4 + 0 + 38 + 1 + 600 + 8 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (403816008961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4865253079 + ... + 4865253161.

It is an arithmetic number, because the mean of its divisors is an integer number (746233740).

Almost surely, 2^403816008960 is an apocalyptic number.

403816008960 is a gapful number since it is divisible by the number (40) 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 403816008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967118927040).

403816008960 is an abundant number, since it is smaller than the sum of its proper divisors (1530421845120).

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

403816008960 is a wasteful number, since it uses less digits than its factorization.

403816008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 403816008960 in words is "four hundred three billion, eight hundred sixteen million, eight thousand, nine hundred sixty".