13948731040 has 36 divisors (see below), whose sum is σ = 32957406846. Its totient is φ = 5578894848.

The previous prime is 13948731029. The next prime is 13948731067. The reversal of 13948731040 is 4013784931.

It can be written as a sum of positive squares in 3 ways, for example, as 13826937744 + 121793296 = 117588^2 + 11036^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13948730984 and 13948731002.

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 5 ways as a sum of consecutive naturals, for example, 1489252 + ... + 1498588.

Almost surely, 2^13948731040 is an apocalyptic number.

13948731040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13948731040 is an abundant number, since it is smaller than the sum of its proper divisors (19008675806).

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

13948731040 is an frugal number, since it uses more digits than its factorization.

13948731040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18689 (or 9344 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

Multiplying 13948731040 by its sum of digits (40), we get a square (557949241600 = 746960²).

13948731040 divided by its sum of digits (40) gives a square (348718276 = 18674²).

The spelling of 13948731040 in words is "thirteen billion, nine hundred forty-eight million, seven hundred thirty-one thousand, forty".