13141500480 has 672 divisors, whose sum is σ = 52026921600. Its totient is φ = 3113385984.

The previous prime is 13141500479. The next prime is 13141500487. The reversal of 13141500480 is 8400514131.

It is a happy number.

13141500480 is a `hidden beast` number, since 1 + 31 + 4 + 150 + 0 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13141500487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47442102 + ... + 47442378.

Almost surely, 2^13141500480 is an apocalyptic number.

13141500480 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 13141500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26013460800).

13141500480 is an abundant number, since it is smaller than the sum of its proper divisors (38885421120).

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

13141500480 is a wasteful number, since it uses less digits than its factorization.

13141500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 13141500480 in words is "thirteen billion, one hundred forty-one million, five hundred thousand, four hundred eighty".