42090243624 has 384 divisors, whose sum is σ = 141894979200. Its totient is φ = 11451248640.

The previous prime is 42090243617. The next prime is 42090243647. The reversal of 42090243624 is 42634209024.

42090243624 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 0 + 24 + 3 + 624 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14855712 + ... + 14858544.

It is an arithmetic number, because the mean of its divisors is an integer number (369518175).

Almost surely, 2^42090243624 is an apocalyptic number.

42090243624 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 42090243624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70947489600).

42090243624 is an abundant number, since it is smaller than the sum of its proper divisors (99804735576).

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

42090243624 is a wasteful number, since it uses less digits than its factorization.

42090243624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 42090243624 in words is "forty-two billion, ninety million, two hundred forty-three thousand, six hundred twenty-four".