42918297600 has 360 divisors, whose sum is σ = 144809169120. Its totient is φ = 11211898880.

The previous prime is 42918297599. The next prime is 42918297623. The reversal of 42918297600 is 679281924.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42918297600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65126071 + ... + 65126729.

It is an arithmetic number, because the mean of its divisors is an integer number (402247692).

Almost surely, 2^42918297600 is an apocalyptic number.

42918297600 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 42918297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72404584560).

42918297600 is an abundant number, since it is smaller than the sum of its proper divisors (101890871520).

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

42918297600 is an equidigital number, since it uses as much as digits as its factorization.

42918297600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 42918297600 in words is "forty-two billion, nine hundred eighteen million, two hundred ninety-seven thousand, six hundred".