13451581440 has 384 divisors, whose sum is σ = 52174886400. Its totient is φ = 3260252160.

The previous prime is 13451581427. The next prime is 13451581453. The reversal of 13451581440 is 4418515431.

13451581440 is a `hidden beast` number, since 1 + 34 + 5 + 1 + 581 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13451581427) and next prime (13451581453).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13451581395 and 13451581404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3039069 + ... + 3043491.

It is an arithmetic number, because the mean of its divisors is an integer number (135872100).

Almost surely, 2^13451581440 is an apocalyptic number.

13451581440 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 13451581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26087443200).

13451581440 is an abundant number, since it is smaller than the sum of its proper divisors (38723304960).

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

13451581440 is a wasteful number, since it uses less digits than its factorization.

13451581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4470 (or 4444 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 13451581440 in words is "thirteen billion, four hundred fifty-one million, five hundred eighty-one thousand, four hundred forty".