39901120 has 112 divisors (see below), whose sum is σ = 111191040. Its totient is φ = 13353984.

The previous prime is 39901109. The next prime is 39901139. The reversal of 39901120 is 2110993.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 105091 + ... + 105469.

Almost surely, 2^39901120 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 39901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595520).

39901120 is an abundant number, since it is smaller than the sum of its proper divisors (71289920).

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

39901120 is a wasteful number, since it uses less digits than its factorization.

39901120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 25.

The square root of 39901120 is about 6316.7333329815. The cubic root of 39901120 is about 341.7131527734.

The spelling of 39901120 in words is "thirty-nine million, nine hundred one thousand, one hundred twenty".