42148938101904 has 160 divisors (see below), whose sum is σ = 128631253322880. Its totient is φ = 13168327680000.

The previous prime is 42148938101903. The next prime is 42148938101911. The reversal of 42148938101904 is 40910183984124.

42148938101904 is a `hidden beast` number, since 4 + 21 + 489 + 38 + 101 + 9 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42148938101903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10137222 + ... + 13677029.

It is an arithmetic number, because the mean of its divisors is an integer number (803945333268).

Almost surely, 2^{42148938101904} is an apocalyptic number.

It is an amenable number.

42148938101904 is an abundant number, since it is smaller than the sum of its proper divisors (86482315220976).

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

42148938101904 is a wasteful number, since it uses less digits than its factorization.

42148938101904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23814526 (or 23814514 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 42148938101904 in words is "forty-two trillion, one hundred forty-eight billion, nine hundred thirty-eight million, one hundred one thousand, nine hundred four".