42541962698160 has 640 divisors, whose sum is σ = 154042780631040. Its totient is φ = 10777328640000.

The previous prime is 42541962698107. The next prime is 42541962698171. The reversal of 42541962698160 is 6189626914524.

42541962698160 is a `hidden beast` number, since 4 + 2 + 54 + 196 + 269 + 81 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2128045765 + ... + 2128065755.

It is an arithmetic number, because the mean of its divisors is an integer number (240691844736).

Almost surely, 2^{42541962698160} is an apocalyptic number.

42541962698160 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 42541962698160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77021390315520).

42541962698160 is an abundant number, since it is smaller than the sum of its proper divisors (111500817932880).

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

42541962698160 is a wasteful number, since it uses less digits than its factorization.

42541962698160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20626 (or 20614 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 42541962698160 in words is "forty-two trillion, five hundred forty-one billion, nine hundred sixty-two million, six hundred ninety-eight thousand, one hundred sixty".