13199077440 has 448 divisors, whose sum is σ = 50018411520. Its totient is φ = 3264675840.

The previous prime is 13199077417. The next prime is 13199077469. The reversal of 13199077440 is 4477099131.

13199077440 is a `hidden beast` number, since 13 + 199 + 0 + 7 + 7 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10721625 + ... + 10722855.

It is an arithmetic number, because the mean of its divisors is an integer number (111648240).

Almost surely, 2^13199077440 is an apocalyptic number.

13199077440 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 13199077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25009205760).

13199077440 is an abundant number, since it is smaller than the sum of its proper divisors (36819334080).

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

13199077440 is a wasteful number, since it uses less digits than its factorization.

13199077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 13199077440 in words is "thirteen billion, one hundred ninety-nine million, seventy-seven thousand, four hundred forty".