23914135440 has 720 divisors, whose sum is σ = 93667129920. Its totient is φ = 5660928000.

The previous prime is 23914135417. The next prime is 23914135447. The reversal of 23914135440 is 4453141932.

23914135440 is a `hidden beast` number, since 23 + 91 + 4 + 1 + 3 + 544 + 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 junction number, because it is equal to n+sod(n) for n = 23914135395 and 23914135404.

It is not an unprimeable number, because it can be changed into a prime (23914135447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95275315 + ... + 95275565.

It is an arithmetic number, because the mean of its divisors is an integer number (130093236).

Almost surely, 2^23914135440 is an apocalyptic number.

23914135440 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 23914135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46833564960).

23914135440 is an abundant number, since it is smaller than the sum of its proper divisors (69752994480).

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

23914135440 is a wasteful number, since it uses less digits than its factorization.

23914135440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 23914135440 in words is "twenty-three billion, nine hundred fourteen million, one hundred thirty-five thousand, four hundred forty".