23407985712400 has 135 divisors (see below), whose sum is σ = 57470856507589. Its totient is φ = 9162196935040.

The previous prime is 23407985712341. The next prime is 23407985712409. The reversal of 23407985712400 is 421758970432.

The square root of 23407985712400 is 4838180.

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

It can be written as a sum of positive squares in only one way, i.e., 8426874856464 + 14981110855936 = 2902908^2 + 3870544^2 .

It is a super-2 number, since 2×23407985712400² (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 (23407985712409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4547886627 + ... + 4547891773.

Almost surely, 2^{23407985712400} is an apocalyptic number.

23407985712400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23407985712400 is the 4838180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23407985712400

23407985712400 is an abundant number, since it is smaller than the sum of its proper divisors (34062870795189).

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

23407985712400 is an frugal number, since it uses more digits than its factorization.

23407985712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10406 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 23407985712400 in words is "twenty-three trillion, four hundred seven billion, nine hundred eighty-five million, seven hundred twelve thousand, four hundred".