12504505440 has 192 divisors, whose sum is σ = 45361451520. Its totient is φ = 2836254720.

The previous prime is 12504505399. The next prime is 12504505483. The reversal of 12504505440 is 4450540521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12504505398 and 12504505407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425956 + ... + 454364.

It is an arithmetic number, because the mean of its divisors is an integer number (236257560).

Almost surely, 2^12504505440 is an apocalyptic number.

12504505440 is a gapful number since it is divisible by the number (10) 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 12504505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680725760).

12504505440 is an abundant number, since it is smaller than the sum of its proper divisors (32856946080).

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

12504505440 is a wasteful number, since it uses less digits than its factorization.

12504505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28565 (or 28557 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 12504505440 in words is "twelve billion, five hundred four million, five hundred five thousand, four hundred forty".