13480133400 has 288 divisors, whose sum is σ = 47555289600. Its totient is φ = 3548188800.

The previous prime is 13480133399. The next prime is 13480133413. The reversal of 13480133400 is 433108431.

13480133400 is a `hidden beast` number, since 13 + 480 + 133 + 40 + 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 71 ways as a sum of consecutive naturals, for example, 3837645 + ... + 3841155.

Almost surely, 2^13480133400 is an apocalyptic number.

13480133400 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 13480133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23777644800).

13480133400 is an abundant number, since it is smaller than the sum of its proper divisors (34075156200).

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

13480133400 is a wasteful number, since it uses less digits than its factorization.

13480133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3600 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

13480133400 divided by its sum of digits (27) gives a triangular number (499264200 = T₃₁₅₉₉).

The spelling of 13480133400 in words is "thirteen billion, four hundred eighty million, one hundred thirty-three thousand, four hundred".