4138808317920 has 96 divisors (see below), whose sum is σ = 14485829127840. Its totient is φ = 1103682216960.

The previous prime is 4138808317873. The next prime is 4138808317949. The reversal of 4138808317920 is 297138088314.

It is a happy number.

4138808317920 is a `hidden beast` number, since 413 + 8 + 80 + 83 + 1 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 479024421 + ... + 479033060.

It is an arithmetic number, because the mean of its divisors is an integer number (150894053415).

Almost surely, 2^{4138808317920} is an apocalyptic number.

4138808317920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4138808317920 is an abundant number, since it is smaller than the sum of its proper divisors (10347020809920).

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

4138808317920 is a wasteful number, since it uses less digits than its factorization.

4138808317920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958057505 (or 958057491 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 4138808317920 in words is "four trillion, one hundred thirty-eight billion, eight hundred eight million, three hundred seventeen thousand, nine hundred twenty".