14057155840 has 576 divisors, whose sum is σ = 45492572160. Its totient is φ = 4034396160.

The previous prime is 14057155831. The next prime is 14057155873. The reversal of 14057155840 is 4855175041.

It is a super-3 number, since 3×14057155840³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 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 = 14057155793 and 14057155802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61384846 + ... + 61385074.

It is an arithmetic number, because the mean of its divisors is an integer number (78980160).

Almost surely, 2^14057155840 is an apocalyptic number.

14057155840 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 14057155840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22746286080).

14057155840 is an abundant number, since it is smaller than the sum of its proper divisors (31435416320).

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

14057155840 is a wasteful number, since it uses less digits than its factorization.

14057155840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 40.

The spelling of 14057155840 in words is "fourteen billion, fifty-seven million, one hundred fifty-five thousand, eight hundred forty".