13706915040 has 1152 divisors, whose sum is σ = 63852001920. Its totient is φ = 2712600576.

The previous prime is 13706914993. The next prime is 13706915059. The reversal of 13706915040 is 4051960731.

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 = 13706914986 and 13706915004.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 46781134 + ... + 46781426.

It is an arithmetic number, because the mean of its divisors is an integer number (55427085).

Almost surely, 2^13706915040 is an apocalyptic number.

13706915040 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 13706915040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31926000960).

13706915040 is an abundant number, since it is smaller than the sum of its proper divisors (50145086880).

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

13706915040 is a wasteful number, since it uses less digits than its factorization.

13706915040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

It can be divided in two parts, 1370691 and 5040, that added together give a palindrome (1375731).

The spelling of 13706915040 in words is "thirteen billion, seven hundred six million, nine hundred fifteen thousand, forty".