42620962831920 has 400 divisors, whose sum is σ = 164133422244000. Its totient is φ = 10162970726400.

The previous prime is 42620962831873. The next prime is 42620962831927. The reversal of 42620962831920 is 2913826902624.

42620962831920 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 0 + 9 + 628 + 3 + 1 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×42620962831920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42620962831927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 553045 + ... + 9249204.

It is an arithmetic number, because the mean of its divisors is an integer number (410333555610).

Almost surely, 2^{42620962831920} is an apocalyptic number.

42620962831920 is a gapful number since it is divisible by the number (40) 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 42620962831920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82066711122000).

42620962831920 is an abundant number, since it is smaller than the sum of its proper divisors (121512459412080).

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

42620962831920 is a wasteful number, since it uses less digits than its factorization.

42620962831920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802346 (or 9802331 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 42620962831920 in words is "forty-two trillion, six hundred twenty billion, nine hundred sixty-two million, eight hundred thirty-one thousand, nine hundred twenty".