13953950640 has 720 divisors, whose sum is σ = 57472107264. Its totient is φ = 2969809920.

The previous prime is 13953950623. The next prime is 13953950641. The reversal of 13953950640 is 4605935931.

13953950640 is a `hidden beast` number, since 1 + 3 + 9 + 539 + 50 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (13953950641) 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 143 ways as a sum of consecutive naturals, for example, 208267887 + ... + 208267953.

Almost surely, 2^13953950640 is an apocalyptic number.

13953950640 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 13953950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28736053632).

13953950640 is an abundant number, since it is smaller than the sum of its proper divisors (43518156624).

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

13953950640 is a wasteful number, since it uses less digits than its factorization.

13953950640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 13953950640 in words is "thirteen billion, nine hundred fifty-three million, nine hundred fifty thousand, six hundred forty".