402110553034400 has 576 divisors, whose sum is σ = 1290737707499520. Its totient is φ = 118961967513600.

The previous prime is 402110553034387. The next prime is 402110553034409. The reversal of 402110553034400 is 4430355011204.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (402110553034409) 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, 52487189 + ... + 59658411.

It is an arithmetic number, because the mean of its divisors is an integer number (2240864075520).

Almost surely, 2^{402110553034400} is an apocalyptic number.

402110553034400 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 402110553034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645368853749760).

402110553034400 is an abundant number, since it is smaller than the sum of its proper divisors (888627154465120).

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

402110553034400 is a wasteful number, since it uses less digits than its factorization.

402110553034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171317 (or 7171304 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 402110553034400 in words is "four hundred two trillion, one hundred ten billion, five hundred fifty-three million, thirty-four thousand, four hundred".