39426895872 has 936 divisors, whose sum is σ = 150912818784. Its totient is φ = 9809952768.

The previous prime is 39426895861. The next prime is 39426895883. The reversal of 39426895872 is 27859862493.

39426895872 is a `hidden beast` number, since 3 + 9 + 42 + 6 + 8 + 9 + 587 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (39426895861) and next prime (39426895883).

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

It is a Smith number, since the sum of its digits (63) 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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 540094428 + ... + 540094500.

It is an arithmetic number, because the mean of its divisors is an integer number (161231644).

Almost surely, 2^39426895872 is an apocalyptic number.

39426895872 is a gapful number since it is divisible by the number (32) 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 39426895872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75456409392).

39426895872 is an abundant number, since it is smaller than the sum of its proper divisors (111485922912).

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

39426895872 is a wasteful number, since it uses less digits than its factorization.

39426895872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 121 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 39426895872 in words is "thirty-nine billion, four hundred twenty-six million, eight hundred ninety-five thousand, eight hundred seventy-two".