12413053728 has 144 divisors (see below), whose sum is σ = 37328159232. Its totient is φ = 3906432000.

The previous prime is 12413053717. The next prime is 12413053739. The reversal of 12413053728 is 82735031421.

It is an interprime number because it is at equal distance from previous prime (12413053717) and next prime (12413053739).

It is a tau number, because it is divible by the number of its divisors (144).

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 = 12413053692 and 12413053701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349093 + ... + 383003.

It is an arithmetic number, because the mean of its divisors is an integer number (259223328).

Almost surely, 2^12413053728 is an apocalyptic number.

12413053728 is a gapful number since it is divisible by the number (18) 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 12413053728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18664079616).

12413053728 is an abundant number, since it is smaller than the sum of its proper divisors (24915105504).

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

12413053728 is a wasteful number, since it uses less digits than its factorization.

12413053728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33999 (or 33988 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12413053728 in words is "twelve billion, four hundred thirteen million, fifty-three thousand, seven hundred twenty-eight".