42557239296 has 936 divisors, whose sum is σ = 157138240896. Its totient is φ = 11386552320.

The previous prime is 42557239279. The next prime is 42557239303. The reversal of 42557239296 is 69293275524.

42557239296 is a `hidden beast` number, since 4 + 255 + 72 + 39 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×42557239296² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1850314741 + ... + 1850314763.

It is an arithmetic number, because the mean of its divisors is an integer number (167882736).

Almost surely, 2^42557239296 is an apocalyptic number.

42557239296 is a gapful number since it is divisible by the number (46) 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 42557239296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78569120448).

42557239296 is an abundant number, since it is smaller than the sum of its proper divisors (114581001600).

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

42557239296 is a wasteful number, since it uses less digits than its factorization.

42557239296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 42557239296 in words is "forty-two billion, five hundred fifty-seven million, two hundred thirty-nine thousand, two hundred ninety-six".