13406331600 has 480 divisors, whose sum is σ = 50925312000. Its totient is φ = 3339947520.

The previous prime is 13406331599. The next prime is 13406331611. The reversal of 13406331600 is 613360431.

13406331600 is a `hidden beast` number, since 1 + 340 + 6 + 3 + 316 + 0 + 0 = 666.

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

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, 16210387 + ... + 16211213.

It is an arithmetic number, because the mean of its divisors is an integer number (106094400).

Almost surely, 2^13406331600 is an apocalyptic number.

13406331600 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 13406331600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25462656000).

13406331600 is an abundant number, since it is smaller than the sum of its proper divisors (37518980400).

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

13406331600 is a wasteful number, since it uses less digits than its factorization.

13406331600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 13406331600 in words is "thirteen billion, four hundred six million, three hundred thirty-one thousand, six hundred".