14056434437760 has 1024 divisors, whose sum is σ = 60373555200000. Its totient is φ = 3044011622400.

The previous prime is 14056434437753. The next prime is 14056434437807. The reversal of 14056434437760 is 6773443465041.

14056434437760 is a `hidden beast` number, since 1 + 4 + 0 + 564 + 3 + 4 + 4 + 3 + 7 + 76 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14056434437697 and 14056434437706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76510491 + ... + 76693989.

It is an arithmetic number, because the mean of its divisors is an integer number (58958550000).

Almost surely, 2^{14056434437760} is an apocalyptic number.

14056434437760 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 14056434437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30186777600000).

14056434437760 is an abundant number, since it is smaller than the sum of its proper divisors (46317120762240).

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

14056434437760 is a wasteful number, since it uses less digits than its factorization.

14056434437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183582 (or 183564 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 14056434437760 in words is "fourteen trillion, fifty-six billion, four hundred thirty-four million, four hundred thirty-seven thousand, seven hundred sixty".