23406589440 has 800 divisors, whose sum is σ = 95243591520. Its totient is φ = 5446434816.

The previous prime is 23406589433. The next prime is 23406589517. The reversal of 23406589440 is 4498560432.

23406589440 is a `hidden beast` number, since 23 + 4 + 0 + 6 + 589 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51217692 + ... + 51218148.

Almost surely, 2^23406589440 is an apocalyptic number.

23406589440 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 23406589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621795760).

23406589440 is an abundant number, since it is smaller than the sum of its proper divisors (71837002080).

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

23406589440 is a wasteful number, since it uses less digits than its factorization.

23406589440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 23406589440 in words is "twenty-three billion, four hundred six million, five hundred eighty-nine thousand, four hundred forty".