42012111338496 has 2112 divisors, whose sum is σ = 146635346923520. Its totient is φ = 11990039592960.

The previous prime is 42012111338471. The next prime is 42012111338581. The reversal of 42012111338496 is 69483311121024.

42012111338496 is a `hidden beast` number, since 4 + 2 + 0 + 1 + 21 + 1 + 133 + 8 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 627046437855 + ... + 627046437921.

Almost surely, 2^{42012111338496} 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 42012111338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73317673461760).

42012111338496 is an abundant number, since it is smaller than the sum of its proper divisors (104623235585024).

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

42012111338496 is an equidigital number, since it uses as much as digits as its factorization.

42012111338496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 42012111338496 in words is "forty-two trillion, twelve billion, one hundred eleven million, three hundred thirty-eight thousand, four hundred ninety-six".