42651015624 has 768 divisors, whose sum is σ = 154763481600. Its totient is φ = 10319560704.

The previous prime is 42651015581. The next prime is 42651015629.

42651015624 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 10 + 15 + 624 = 666.

42651015624 is nontrivially palindromic in base 10.

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 (42651015629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 439701144 + ... + 439701240.

It is an arithmetic number, because the mean of its divisors is an integer number (201514950).

Almost surely, 2^42651015624 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 42651015624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77381740800).

42651015624 is an abundant number, since it is smaller than the sum of its proper divisors (112112465976).

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

42651015624 is a wasteful number, since it uses less digits than its factorization.

42651015624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 42651015624 in words is "forty-two billion, six hundred fifty-one million, fifteen thousand, six hundred twenty-four".