42120400433232 has 320 divisors, whose sum is σ = 120470339404800. Its totient is φ = 12575189053440.

The previous prime is 42120400433227. The next prime is 42120400433273. The reversal of 42120400433232 is 23233400402124.

It is a super-3 number, since 3×42120400433232³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42120400433232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14331540019 + ... + 14331542957.

It is an arithmetic number, because the mean of its divisors is an integer number (376469810640).

Almost surely, 2^{42120400433232} 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 42120400433232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60235169702400).

42120400433232 is an abundant number, since it is smaller than the sum of its proper divisors (78349938971568).

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

42120400433232 is a wasteful number, since it uses less digits than its factorization.

42120400433232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 42120400433232 its reverse (23233400402124), we get a palindrome (65353800835356).

The spelling of 42120400433232 in words is "forty-two trillion, one hundred twenty billion, four hundred million, four hundred thirty-three thousand, two hundred thirty-two".