12604142040 has 512 divisors, whose sum is σ = 47230801920. Its totient is φ = 2625896448.

The previous prime is 12604142027. The next prime is 12604142063. The reversal of 12604142040 is 4024140621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12604142040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111541024 + ... + 111541136.

It is an arithmetic number, because the mean of its divisors is an integer number (92247660).

Almost surely, 2^12604142040 is an apocalyptic number.

12604142040 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 12604142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23615400960).

12604142040 is an abundant number, since it is smaller than the sum of its proper divisors (34626659880).

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

12604142040 is a wasteful number, since it uses less digits than its factorization.

12604142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12604142040 its reverse (4024140621), we get a palindrome (16628282661).

The spelling of 12604142040 in words is "twelve billion, six hundred four million, one hundred forty-two thousand, forty".