42400542720 has 416 divisors, whose sum is σ = 143309736000. Its totient is φ = 10687086592.

The previous prime is 42400542713. The next prime is 42400542721. The reversal of 42400542720 is 2724500424.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400542721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94433056 + ... + 94433504.

Almost surely, 2^42400542720 is an apocalyptic number.

42400542720 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 42400542720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71654868000).

42400542720 is an abundant number, since it is smaller than the sum of its proper divisors (100909193280).

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

42400542720 is a wasteful number, since it uses less digits than its factorization.

42400542720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 30.

The spelling of 42400542720 in words is "forty-two billion, four hundred million, five hundred forty-two thousand, seven hundred twenty".