42140577024 has 864 divisors, whose sum is σ = 165590490240. Its totient is φ = 10441654272.

The previous prime is 42140577013. The next prime is 42140577029. The reversal of 42140577024 is 42077504124.

42140577024 is a `hidden beast` number, since 4 + 21 + 40 + 577 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a self number, because there is not a number n which added to its sum of digits gives 42140577024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42140577029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74849767 + ... + 74850329.

It is an arithmetic number, because the mean of its divisors is an integer number (191655660).

Almost surely, 2^42140577024 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 42140577024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82795245120).

42140577024 is an abundant number, since it is smaller than the sum of its proper divisors (123449913216).

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

42140577024 is a wasteful number, since it uses less digits than its factorization.

42140577024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 42140577024 in words is "forty-two billion, one hundred forty million, five hundred seventy-seven thousand, twenty-four".