42363518400 has 840 divisors, whose sum is σ = 181785463200. Its totient is φ = 9672929280.

The previous prime is 42363518377. The next prime is 42363518419. The reversal of 42363518400 is 481536324.

42363518400 is a `hidden beast` number, since 4 + 2 + 3 + 635 + 18 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44452324 + ... + 44453276.

Almost surely, 2^42363518400 is an apocalyptic number.

42363518400 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 42363518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90892731600).

42363518400 is an abundant number, since it is smaller than the sum of its proper divisors (139421944800).

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

42363518400 is an equidigital number, since it uses as much as digits as its factorization.

42363518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 42363518400 in words is "forty-two billion, three hundred sixty-three million, five hundred eighteen thousand, four hundred".