42242715504 has 480 divisors, whose sum is σ = 140641712640. Its totient is φ = 11699251200.

The previous prime is 42242715503. The next prime is 42242715521. The reversal of 42242715504 is 40551724224.

42242715504 is a `hidden beast` number, since 42 + 2 + 42 + 71 + 5 + 504 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242715503) 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, 113251062 + ... + 113251434.

It is an arithmetic number, because the mean of its divisors is an integer number (293003568).

Almost surely, 2^42242715504 is an apocalyptic number.

42242715504 is a gapful number since it is divisible by the number (44) 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 42242715504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70320856320).

42242715504 is an abundant number, since it is smaller than the sum of its proper divisors (98398997136).

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

42242715504 is a wasteful number, since it uses less digits than its factorization.

42242715504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 36.

The spelling of 42242715504 in words is "forty-two billion, two hundred forty-two million, seven hundred fifteen thousand, five hundred four".