13641500400 has 960 divisors, whose sum is σ = 54521081856. Its totient is φ = 2875392000.

The previous prime is 13641500387. The next prime is 13641500407. The reversal of 13641500400 is 400514631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13641500407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 257386774 + ... + 257386826.

Almost surely, 2^13641500400 is an apocalyptic number.

13641500400 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 13641500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27260540928).

13641500400 is an abundant number, since it is smaller than the sum of its proper divisors (40879581456).

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

13641500400 is a wasteful number, since it uses less digits than its factorization.

13641500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 13641500400 in words is "thirteen billion, six hundred forty-one million, five hundred thousand, four hundred".