42527461104 has 480 divisors, whose sum is σ = 137791180800. Its totient is φ = 12669592320.

The previous prime is 42527461091. The next prime is 42527461111. The reversal of 42527461104 is 40116472524.

42527461104 is a `hidden beast` number, since 42 + 52 + 7 + 461 + 104 = 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 95 ways as a sum of consecutive naturals, for example, 1371853569 + ... + 1371853599.

It is an arithmetic number, because the mean of its divisors is an integer number (287064960).

Almost surely, 2^42527461104 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 42527461104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68895590400).

42527461104 is an abundant number, since it is smaller than the sum of its proper divisors (95263719696).

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

42527461104 is an equidigital number, since it uses as much as digits as its factorization.

42527461104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42527461104 in words is "forty-two billion, five hundred twenty-seven million, four hundred sixty-one thousand, one hundred four".