13474124400 has 360 divisors, whose sum is σ = 48147668352. Its totient is φ = 3217984000.

The previous prime is 13474124393. The next prime is 13474124413. The reversal of 13474124400 is 442147431.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 10308547 + ... + 10309853.

Almost surely, 2^13474124400 is an apocalyptic number.

13474124400 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 13474124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24073834176).

13474124400 is an abundant number, since it is smaller than the sum of its proper divisors (34673543952).

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

13474124400 is a wasteful number, since it uses less digits than its factorization.

13474124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 13474124400 in words is "thirteen billion, four hundred seventy-four million, one hundred twenty-four thousand, four hundred".