14393114144640 has 2304 divisors, whose sum is σ = 64294245512640. Its totient is φ = 2933489664000.

The previous prime is 14393114144627. The next prime is 14393114144663. The reversal of 14393114144640 is 4644141139341.

It is a happy number.

14393114144640 is a `hidden beast` number, since 1 + 4 + 3 + 93 + 114 + 1 + 446 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 61773021964 + ... + 61773022196.

Almost surely, 2^{14393114144640} is an apocalyptic number.

14393114144640 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 14393114144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32147122756320).

14393114144640 is an abundant number, since it is smaller than the sum of its proper divisors (49901131368000).

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

14393114144640 is a wasteful number, since it uses less digits than its factorization.

14393114144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 14393114144640 in words is "fourteen trillion, three hundred ninety-three billion, one hundred fourteen million, one hundred forty-four thousand, six hundred forty".