23424438414400 has 63 divisors (see below), whose sum is σ = 57639235142559. Its totient is φ = 9369697927680.

The previous prime is 23424438414397. The next prime is 23424438414409. The reversal of 23424438414400 is 441483442432.

The square root of 23424438414400 is 4839880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 505316252736 + 22919122161664 = 710856^2 + 4787392^2 .

It is a super-2 number, since 2×23424438414400² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23424438414409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 193534702 + ... + 193655698.

Almost surely, 2^{23424438414400} is an apocalyptic number.

23424438414400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23424438414400 is the 4839880-th square number.

It is an amenable number.

23424438414400 is an abundant number, since it is smaller than the sum of its proper divisors (34214796728159).

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

23424438414400 is an frugal number, since it uses more digits than its factorization.

23424438414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242016 (or 121004 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 43.

The spelling of 23424438414400 in words is "twenty-three trillion, four hundred twenty-four billion, four hundred thirty-eight million, four hundred fourteen thousand, four hundred".