13417971840 has 1536 divisors, whose sum is σ = 63293529600. Its totient is φ = 2656862208.

The previous prime is 13417971839. The next prime is 13417971841. The reversal of 13417971840 is 4817971431.

It is an interprime number because it is at equal distance from previous prime (13417971839) and next prime (13417971841).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13417971841) 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, 253169254 + ... + 253169306.

It is an arithmetic number, because the mean of its divisors is an integer number (41206725).

Almost surely, 2^13417971840 is an apocalyptic number.

13417971840 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 13417971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31646764800).

13417971840 is an abundant number, since it is smaller than the sum of its proper divisors (49875557760).

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

13417971840 is a wasteful number, since it uses less digits than its factorization.

13417971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 13417971840 in words is "thirteen billion, four hundred seventeen million, nine hundred seventy-one thousand, eight hundred forty".