13413942360 has 384 divisors, whose sum is σ = 55339200000. Its totient is φ = 2829924864.

The previous prime is 13413942341. The next prime is 13413942413. The reversal of 13413942360 is 6324931431.

13413942360 is a `hidden beast` number, since 1 + 3 + 413 + 9 + 4 + 236 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1272391 + ... + 1282889.

It is an arithmetic number, because the mean of its divisors is an integer number (144112500).

Almost surely, 2^13413942360 is an apocalyptic number.

13413942360 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 13413942360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27669600000).

13413942360 is an abundant number, since it is smaller than the sum of its proper divisors (41925257640).

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

13413942360 is a wasteful number, since it uses less digits than its factorization.

13413942360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10552 (or 10529 counting only the distinct ones).

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

The spelling of 13413942360 in words is "thirteen billion, four hundred thirteen million, nine hundred forty-two thousand, three hundred sixty".