42962010624 has 240 divisors, whose sum is σ = 133886352600. Its totient is φ = 13183746048.

The previous prime is 42962010593. The next prime is 42962010629. The reversal of 42962010624 is 42601026924.

42962010624 is a `hidden beast` number, since 4 + 2 + 9 + 6 + 20 + 1 + 0 + 624 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22788921600 + 20173089024 = 150960^2 + 142032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42962010629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30490432 + ... + 30491840.

Almost surely, 2^42962010624 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 42962010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66943176300).

42962010624 is an abundant number, since it is smaller than the sum of its proper divisors (90924341976).

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

42962010624 is a wasteful number, since it uses less digits than its factorization.

42962010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 42962010624 in words is "forty-two billion, nine hundred sixty-two million, ten thousand, six hundred twenty-four".