23438004480 has 360 divisors, whose sum is σ = 91494051264. Its totient is φ = 5681664000.

The previous prime is 23438004461. The next prime is 23438004487. The reversal of 23438004480 is 8440083432.

23438004480 is a `hidden beast` number, since 234 + 380 + 0 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (23438004487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1130205 + ... + 1150755.

Almost surely, 2^23438004480 is an apocalyptic number.

23438004480 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 23438004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45747025632).

23438004480 is an abundant number, since it is smaller than the sum of its proper divisors (68056046784).

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

23438004480 is a wasteful number, since it uses less digits than its factorization.

23438004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20595 (or 20572 counting only the distinct ones).

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

The spelling of 23438004480 in words is "twenty-three billion, four hundred thirty-eight million, four thousand, four hundred eighty".