42025753554624 has 3584 divisors, whose sum is σ = 169423121940480. Its totient is φ = 9932577177600.

The previous prime is 42025753554623. The next prime is 42025753554643. The reversal of 42025753554624 is 42645535752024.

42025753554624 is a `hidden beast` number, since 4 + 2 + 0 + 2 + 5 + 7 + 5 + 3 + 5 + 5 + 4 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42025753554623) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 330911445249 + ... + 330911445375.

Almost surely, 2^{42025753554624} 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 42025753554624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84711560970240).

42025753554624 is an abundant number, since it is smaller than the sum of its proper divisors (127397368385856).

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

42025753554624 is a wasteful number, since it uses less digits than its factorization.

42025753554624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 40320000, while the sum is 54.

The spelling of 42025753554624 in words is "forty-two trillion, twenty-five billion, seven hundred fifty-three million, five hundred fifty-four thousand, six hundred twenty-four".