42101557703712 has 72 divisors (see below), whose sum is σ = 128936020479084. Its totient is φ = 12954325446144.

The previous prime is 42101557703693. The next prime is 42101557703717. The reversal of 42101557703712 is 21730775510124.

42101557703712 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 1 + 5 + 577 + 0 + 3 + 71 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40814158851216 + 1287398852496 = 6388596^2 + 1134636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×42101557703712² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42101557703717) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5622533343 + ... + 5622540830.

Almost surely, 2^{42101557703712} is an apocalyptic number.

It is an amenable number.

42101557703712 is an abundant number, since it is smaller than the sum of its proper divisors (86834462775372).

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

42101557703712 is a wasteful number, since it uses less digits than its factorization.

42101557703712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11245074202 (or 11245074191 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 45.

The spelling of 42101557703712 in words is "forty-two trillion, one hundred one billion, five hundred fifty-seven million, seven hundred three thousand, seven hundred twelve".