23488340400 has 720 divisors, whose sum is σ = 97404622848. Its totient is φ = 5128704000.

The previous prime is 23488340363. The next prime is 23488340419. The reversal of 23488340400 is 404388432.

23488340400 is a `hidden beast` number, since 234 + 88 + 340 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 83588260 + ... + 83588540.

Almost surely, 2^23488340400 is an apocalyptic number.

23488340400 is a gapful number since it is divisible by the number (20) 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 23488340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48702311424).

23488340400 is an abundant number, since it is smaller than the sum of its proper divisors (73916282448).

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

23488340400 is a wasteful number, since it uses less digits than its factorization.

23488340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 23488340400 in words is "twenty-three billion, four hundred eighty-eight million, three hundred forty thousand, four hundred".