13769684040 has 192 divisors, whose sum is σ = 48134995200. Its totient is φ = 3142013952.

The previous prime is 13769684029. The next prime is 13769684069. The reversal of 13769684040 is 4048696731.

It is a super-2 number, since 2×13769684040² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4226092 + ... + 4229348.

It is an arithmetic number, because the mean of its divisors is an integer number (250703100).

Almost surely, 2^13769684040 is an apocalyptic number.

13769684040 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 13769684040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067497600).

13769684040 is an abundant number, since it is smaller than the sum of its proper divisors (34365311160).

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

13769684040 is a wasteful number, since it uses less digits than its factorization.

13769684040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004 (or 3993 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 13769684040 in words is "thirteen billion, seven hundred sixty-nine million, six hundred eighty-four thousand, forty".