39901364460 has 144 divisors (see below), whose sum is σ = 122311949760. Its totient is φ = 10528358400.

The previous prime is 39901364417. The next prime is 39901364483. The reversal of 39901364460 is 6446310993.

39901364460 is a `hidden beast` number, since 39 + 90 + 13 + 64 + 460 = 666.

It is a super-3 number, since 3×39901364460³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 15640185 + ... + 15642735.

It is an arithmetic number, because the mean of its divisors is an integer number (849388540).

Almost surely, 2^39901364460 is an apocalyptic number.

39901364460 is a gapful number since it is divisible by the number (30) 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 39901364460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61155974880).

39901364460 is an abundant number, since it is smaller than the sum of its proper divisors (82410585300).

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

39901364460 is a wasteful number, since it uses less digits than its factorization.

39901364460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 39901364460 in words is "thirty-nine billion, nine hundred one million, three hundred sixty-four thousand, four hundred sixty".