42951507984 has 640 divisors, whose sum is σ = 159349800960. Its totient is φ = 10754726400.

The previous prime is 42951507971. The next prime is 42951508003. The reversal of 42951507984 is 48970515924.

It is a happy number.

42951507984 is a `hidden beast` number, since 4 + 2 + 9 + 51 + 507 + 9 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42951507984.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129762699 + ... + 129763029.

It is an arithmetic number, because the mean of its divisors is an integer number (248984064).

Almost surely, 2^42951507984 is an apocalyptic number.

42951507984 is a gapful number since it is divisible by the number (44) 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 42951507984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79674900480).

42951507984 is an abundant number, since it is smaller than the sum of its proper divisors (116398292976).

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

42951507984 is a wasteful number, since it uses less digits than its factorization.

42951507984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 42951507984 in words is "forty-two billion, nine hundred fifty-one million, five hundred seven thousand, nine hundred eighty-four".