13930007040 has 480 divisors, whose sum is σ = 51047732736. Its totient is φ = 3503554560.

The previous prime is 13930007023. The next prime is 13930007081. The reversal of 13930007040 is 4070003931.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13930007040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13930006995 and 13930007013.

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, 51402105 + ... + 51402375.

Almost surely, 2^13930007040 is an apocalyptic number.

13930007040 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 13930007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25523866368).

13930007040 is an abundant number, since it is smaller than the sum of its proper divisors (37117725696).

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

13930007040 is a wasteful number, since it uses less digits than its factorization.

13930007040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 13930007040 in words is "thirteen billion, nine hundred thirty million, seven thousand, forty".