13251047040 has 1024 divisors, whose sum is σ = 61196083200. Its totient is φ = 2627665920.

The previous prime is 13251047023. The next prime is 13251047057. The reversal of 13251047040 is 4074015231.

It is an interprime number because it is at equal distance from previous prime (13251047023) and next prime (13251047057).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13251046995 and 13251047013.

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, 30602664 + ... + 30603096.

It is an arithmetic number, because the mean of its divisors is an integer number (59761800).

Almost surely, 2^13251047040 is an apocalyptic number.

13251047040 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 13251047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30598041600).

13251047040 is an abundant number, since it is smaller than the sum of its proper divisors (47945036160).

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

13251047040 is a wasteful number, since it uses less digits than its factorization.

13251047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 13251047040 in words is "thirteen billion, two hundred fifty-one million, forty-seven thousand, forty".