13425540710400 has 2160 divisors, whose sum is σ = 61146589923328. Its totient is φ = 2739142656000.

The previous prime is 13425540710339. The next prime is 13425540710507. The reversal of 13425540710400 is 401704552431.

13425540710400 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 5 + 540 + 7 + 104 + 0 + 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 143 ways as a sum of consecutive naturals, for example, 10399333755 + ... + 10399335045.

Almost surely, 2^{13425540710400} is an apocalyptic number.

13425540710400 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 13425540710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30573294961664).

13425540710400 is an abundant number, since it is smaller than the sum of its proper divisors (47721049212928).

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

13425540710400 is a wasteful number, since it uses less digits than its factorization.

13425540710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 13425540710400 in words is "thirteen trillion, four hundred twenty-five billion, five hundred forty million, seven hundred ten thousand, four hundred".