42405452544 has 864 divisors, whose sum is σ = 153942175744. Its totient is φ = 10072719360.

The previous prime is 42405452543. The next prime is 42405452549. The reversal of 42405452544 is 44525450424.

It is a super-2 number, since 2×42405452544² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (42405452543) 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, 1146093294 + ... + 1146093330.

Almost surely, 2^42405452544 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 42405452544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76971087872).

42405452544 is an abundant number, since it is smaller than the sum of its proper divisors (111536723200).

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

42405452544 is a wasteful number, since it uses less digits than its factorization.

42405452544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 39.

The spelling of 42405452544 in words is "forty-two billion, four hundred five million, four hundred fifty-two thousand, five hundred forty-four".