14257979043840 has 1872 divisors, whose sum is σ = 60691425500160. Its totient is φ = 3200497090560.

The previous prime is 14257979043809. The next prime is 14257979043859. The reversal of 14257979043840 is 4834097975241.

14257979043840 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 79 + 7 + 90 + 438 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14387465745 + ... + 14387466735.

It is an arithmetic number, because the mean of its divisors is an integer number (32420633280).

Almost surely, 2^{14257979043840} is an apocalyptic number.

14257979043840 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 14257979043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30345712750080).

14257979043840 is an abundant number, since it is smaller than the sum of its proper divisors (46433446456320).

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

14257979043840 is an frugal number, since it uses more digits than its factorization.

14257979043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 14257979043840 in words is "fourteen trillion, two hundred fifty-seven billion, nine hundred seventy-nine million, forty-three thousand, eight hundred forty".