23407642440 has 960 divisors, whose sum is σ = 101014594560. Its totient is φ = 4755179520.

The previous prime is 23407642367. The next prime is 23407642441. The reversal of 23407642440 is 4424670432.

23407642440 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 7 + 642 + 4 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 23407642395 and 23407642404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23407642441) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 118820422 + ... + 118820618.

It is an arithmetic number, because the mean of its divisors is an integer number (105223536).

Almost surely, 2^23407642440 is an apocalyptic number.

23407642440 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 23407642440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50507297280).

23407642440 is an abundant number, since it is smaller than the sum of its proper divisors (77606952120).

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

23407642440 is a wasteful number, since it uses less digits than its factorization.

23407642440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 23407642440 in words is "twenty-three billion, four hundred seven million, six hundred forty-two thousand, four hundred forty".