32121009793440 has 2304 divisors, whose sum is σ = 128120839741440. Its totient is φ = 7283146752000.

The previous prime is 32121009793351. The next prime is 32121009793441. The reversal of 32121009793440 is 4439790012123.

32121009793440 is a `hidden beast` number, since 3 + 2 + 1 + 210 + 0 + 97 + 9 + 344 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (32121009793441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 95314568952 + ... + 95314569288.

It is an arithmetic number, because the mean of its divisors is an integer number (55608003360).

Almost surely, 2^{32121009793440} is an apocalyptic number.

32121009793440 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 32121009793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64060419870720).

32121009793440 is an abundant number, since it is smaller than the sum of its proper divisors (95999829948000).

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

32121009793440 is a wasteful number, since it uses less digits than its factorization.

32121009793440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 32121009793440 in words is "thirty-two trillion, one hundred twenty-one billion, nine million, seven hundred ninety-three thousand, four hundred forty".