23749956397440 has 2048 divisors, whose sum is σ = 105442606080000. Its totient is φ = 4980477984768.

The previous prime is 23749956397381. The next prime is 23749956397459. The reversal of 23749956397440 is 4479365994732.

23749956397440 is a `hidden beast` number, since 2 + 3 + 7 + 4 + 9 + 95 + 6 + 3 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25346804652 + ... + 25346805588.

It is an arithmetic number, because the mean of its divisors is an integer number (51485647500).

Almost surely, 2^{23749956397440} is an apocalyptic number.

23749956397440 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 23749956397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52721303040000).

23749956397440 is an abundant number, since it is smaller than the sum of its proper divisors (81692649682560).

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

23749956397440 is an equidigital number, since it uses as much as digits as its factorization.

23749956397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 72.

It can be divided in two parts, 23749956 and 397440, that added together give a square (24147396 = 4914²).

The spelling of 23749956397440 in words is "twenty-three trillion, seven hundred forty-nine billion, nine hundred fifty-six million, three hundred ninety-seven thousand, four hundred forty".