42591924144 has 560 divisors, whose sum is σ = 157694192640. Its totient is φ = 10816727040.

The previous prime is 42591924139. The next prime is 42591924149. The reversal of 42591924144 is 44142919524.

42591924144 is a `hidden beast` number, since 42 + 5 + 9 + 192 + 414 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (42591924139) and next prime (42591924149).

It is a self number, because there is not a number n which added to its sum of digits gives 42591924144.

It is not an unprimeable number, because it can be changed into a prime (42591924149) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 42211512 + ... + 42212520.

Almost surely, 2^42591924144 is an apocalyptic number.

42591924144 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 42591924144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78847096320).

42591924144 is an abundant number, since it is smaller than the sum of its proper divisors (115102268496).

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

42591924144 is a wasteful number, since it uses less digits than its factorization.

42591924144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1079 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 42591924144 in words is "forty-two billion, five hundred ninety-one million, nine hundred twenty-four thousand, one hundred forty-four".