14155352640 has 1344 divisors, whose sum is σ = 63373040640. Its totient is φ = 2956124160.

The previous prime is 14155352639. The next prime is 14155352647. The reversal of 14155352640 is 4625355141.

14155352640 is a `hidden beast` number, since 1 + 4 + 1 + 5 + 5 + 3 + 5 + 2 + 640 = 666.

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 = 14155352595 and 14155352604.

It is not an unprimeable number, because it can be changed into a prime (14155352647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211273887 + ... + 211273953.

It is an arithmetic number, because the mean of its divisors is an integer number (47152560).

Almost surely, 2^14155352640 is an apocalyptic number.

14155352640 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 14155352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31686520320).

14155352640 is an abundant number, since it is smaller than the sum of its proper divisors (49217688000).

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

14155352640 is a wasteful number, since it uses less digits than its factorization.

14155352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 14155352640 in words is "fourteen billion, one hundred fifty-five million, three hundred fifty-two thousand, six hundred forty".