39922950144 has 672 divisors, whose sum is σ = 142920573696. Its totient is φ = 9625927680.

The previous prime is 39922950107. The next prime is 39922950167. The reversal of 39922950144 is 44105922993.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 39922950093 and 39922950102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 546889692 + ... + 546889764.

Almost surely, 2^39922950144 is an apocalyptic number.

39922950144 is a gapful number since it is divisible by the number (34) 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 39922950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71460286848).

39922950144 is an abundant number, since it is smaller than the sum of its proper divisors (102997623552).

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

39922950144 is a wasteful number, since it uses less digits than its factorization.

39922950144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 39922950144 in words is "thirty-nine billion, nine hundred twenty-two million, nine hundred fifty thousand, one hundred forty-four".