13412433960 has 192 divisors, whose sum is σ = 45263162880. Its totient is φ = 3440770560.

The previous prime is 13412433949. The next prime is 13412433971. The reversal of 13412433960 is 6933421431.

13412433960 is a `hidden beast` number, since 134 + 1 + 2 + 433 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13412433949) and next prime (13412433971).

It is a super-2 number, since 2×13412433960² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1927207 + ... + 1934153.

It is an arithmetic number, because the mean of its divisors is an integer number (235745640).

Almost surely, 2^13412433960 is an apocalyptic number.

13412433960 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 13412433960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22631581440).

13412433960 is an abundant number, since it is smaller than the sum of its proper divisors (31850728920).

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

13412433960 is a wasteful number, since it uses less digits than its factorization.

13412433960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 7161 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13412433960 in words is "thirteen billion, four hundred twelve million, four hundred thirty-three thousand, nine hundred sixty".