13195499040 has 288 divisors, whose sum is σ = 47009407536. Its totient is φ = 3367403520.

The previous prime is 13195499039. The next prime is 13195499041. The reversal of 13195499040 is 4099459131.

13195499040 is a `hidden beast` number, since 1 + 3 + 19 + 549 + 90 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13195499039) and next prime (13195499041).

It can be written as a sum of positive squares in 8 ways, for example, as 6385288464 + 6810210576 = 79908^2 + 82524^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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 (13195499041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3127012 + ... + 3131228.

Almost surely, 2^13195499040 is an apocalyptic number.

13195499040 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 13195499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23504703768).

13195499040 is an abundant number, since it is smaller than the sum of its proper divisors (33813908496).

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

13195499040 is a wasteful number, since it uses less digits than its factorization.

13195499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 13195499040 in words is "thirteen billion, one hundred ninety-five million, four hundred ninety-nine thousand, forty".