42942121560 has 192 divisors, whose sum is σ = 154360140480. Its totient is φ = 10284641280.

The previous prime is 42942121543. The next prime is 42942121619. The reversal of 42942121560 is 6512124924.

It is a happy number.

42942121560 is a `hidden beast` number, since 4 + 2 + 94 + 2 + 1 + 2 + 1 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 49165 + ... + 297155.

It is an arithmetic number, because the mean of its divisors is an integer number (803959065).

Almost surely, 2^42942121560 is an apocalyptic number.

42942121560 is a gapful number since it is divisible by the number (40) 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 42942121560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77180070240).

42942121560 is an abundant number, since it is smaller than the sum of its proper divisors (111418018920).

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

42942121560 is a wasteful number, since it uses less digits than its factorization.

42942121560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248058 (or 248051 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 42942121560 in words is "forty-two billion, nine hundred forty-two million, one hundred twenty-one thousand, five hundred sixty".