42124569600 has 528 divisors, whose sum is σ = 144742878720. Its totient is φ = 10798694400.

The previous prime is 42124569593. The next prime is 42124569629. The reversal of 42124569600 is 696542124.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321561535 + ... + 321561665.

It is an arithmetic number, because the mean of its divisors is an integer number (274134240).

Almost surely, 2^42124569600 is an apocalyptic number.

42124569600 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 42124569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72371439360).

42124569600 is an abundant number, since it is smaller than the sum of its proper divisors (102618309120).

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

42124569600 is a wasteful number, since it uses less digits than its factorization.

42124569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 42124569600 in words is "forty-two billion, one hundred twenty-four million, five hundred sixty-nine thousand, six hundred".