21041628077232 has 960 divisors, whose sum is σ = 76301491392000. Its totient is φ = 5516248614912.

The previous prime is 21041628077179. The next prime is 21041628077273. The reversal of 21041628077232 is 23277082614012.

21041628077232 is a `hidden beast` number, since 2 + 10 + 4 + 1 + 628 + 0 + 7 + 7 + 2 + 3 + 2 = 666.

It is a super-2 number, since 2×21041628077232² (a number of 27 digits) contains 22 as substring.

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, 3378007494 + ... + 3378013722.

It is an arithmetic number, because the mean of its divisors is an integer number (79480720200).

Almost surely, 2^{21041628077232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21041628077232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38150745696000).

21041628077232 is an abundant number, since it is smaller than the sum of its proper divisors (55259863314768).

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

21041628077232 is a wasteful number, since it uses less digits than its factorization.

21041628077232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6543 (or 6524 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 21041628077232 in words is "twenty-one trillion, forty-one billion, six hundred twenty-eight million, seventy-seven thousand, two hundred thirty-two".