13782083040 has 192 divisors, whose sum is σ = 52622680320. Its totient is φ = 3341099520.

The previous prime is 13782083027. The next prime is 13782083041. The reversal of 13782083040 is 4038028731.

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 = 13782082986 and 13782083004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13782083041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97494 + ... + 192533.

It is an arithmetic number, because the mean of its divisors is an integer number (274076460).

Almost surely, 2^13782083040 is an apocalyptic number.

13782083040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13782083040 is an abundant number, since it is smaller than the sum of its proper divisors (38840597280).

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

13782083040 is a wasteful number, since it uses less digits than its factorization.

13782083040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290062 (or 290048 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13782083040 in words is "thirteen billion, seven hundred eighty-two million, eighty-three thousand, forty".