13765199040 has 336 divisors, whose sum is σ = 50325649920. Its totient is φ = 3443558400.

The previous prime is 13765199033. The next prime is 13765199057. The reversal of 13765199040 is 4099156731.

13765199040 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 519 + 90 + 40 = 666.

It is a super-2 number, since 2×13765199040² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5853865 + ... + 5856215.

It is an arithmetic number, because the mean of its divisors is an integer number (149778720).

Almost surely, 2^13765199040 is an apocalyptic number.

13765199040 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 13765199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162824960).

13765199040 is an abundant number, since it is smaller than the sum of its proper divisors (36560450880).

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

13765199040 is a wasteful number, since it uses less digits than its factorization.

13765199040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 13765199040 in words is "thirteen billion, seven hundred sixty-five million, one hundred ninety-nine thousand, forty".