32401014122400 has 1152 divisors, whose sum is σ = 142186723467264. Its totient is φ = 6201788006400.

The previous prime is 32401014122387. The next prime is 32401014122413. The reversal of 32401014122400 is 422141010423.

32401014122400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (32401014122387) and next prime (32401014122413).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 147545482 + ... + 147764918.

It is an arithmetic number, because the mean of its divisors is an integer number (123425975232).

Almost surely, 2^{32401014122400} is an apocalyptic number.

32401014122400 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 32401014122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71093361733632).

32401014122400 is an abundant number, since it is smaller than the sum of its proper divisors (109785709344864).

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

32401014122400 is a wasteful number, since it uses less digits than its factorization.

32401014122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219542 (or 219529 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 32401014122400 its reverse (422141010423), we get a palindrome (32823155132823).

The spelling of 32401014122400 in words is "thirty-two trillion, four hundred one billion, fourteen million, one hundred twenty-two thousand, four hundred".