32026326080400 has 960 divisors, whose sum is σ = 120123511603200. Its totient is φ = 8095375872000.

The previous prime is 32026326080383. The next prime is 32026326080449. The reversal of 32026326080400 is 408062362023.

32026326080400 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 6 + 3 + 2 + 608 + 0 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2892806865 + ... + 2892817935.

It is an arithmetic number, because the mean of its divisors is an integer number (125128657920).

Almost surely, 2^{32026326080400} is an apocalyptic number.

32026326080400 is a gapful number since it is divisible by the number (30) 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 32026326080400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60061755801600).

32026326080400 is an abundant number, since it is smaller than the sum of its proper divisors (88097185522800).

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

32026326080400 is a wasteful number, since it uses less digits than its factorization.

32026326080400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11325 (or 11308 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 32026326080400 in words is "thirty-two trillion, twenty-six billion, three hundred twenty-six million, eighty thousand, four hundred".