42415879392 has 168 divisors, whose sum is σ = 126970487280. Its totient is φ = 13938946560.

The previous prime is 42415879369. The next prime is 42415879411. The reversal of 42415879392 is 29397851424.

42415879392 is a `hidden beast` number, since 4 + 24 + 1 + 587 + 9 + 39 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1643484 + ... + 1669092.

It is an arithmetic number, because the mean of its divisors is an integer number (755776710).

Almost surely, 2^42415879392 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 42415879392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63485243640).

42415879392 is an abundant number, since it is smaller than the sum of its proper divisors (84554607888).

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

42415879392 is an equidigital number, since it uses as much as digits as its factorization.

42415879392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25708 (or 25685 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 42415879392 in words is "forty-two billion, four hundred fifteen million, eight hundred seventy-nine thousand, three hundred ninety-two".