42596414784 has 784 divisors, whose sum is σ = 161189554176. Its totient is φ = 10842854400.

The previous prime is 42596414747. The next prime is 42596414801. The reversal of 42596414784 is 48741469524.

42596414784 is a `hidden beast` number, since 4 + 2 + 596 + 4 + 1 + 47 + 8 + 4 = 666.

42596414784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 42596414784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 255068269 + ... + 255068435.

Almost surely, 2^42596414784 is an apocalyptic number.

42596414784 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 42596414784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80594777088).

42596414784 is an abundant number, since it is smaller than the sum of its proper divisors (118593139392).

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

42596414784 is a wasteful number, since it uses less digits than its factorization.

42596414784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 42596414784 in words is "forty-two billion, five hundred ninety-six million, four hundred fourteen thousand, seven hundred eighty-four".