14077760000 has 400 divisors, whose sum is σ = 38254348440. Its totient is φ = 5160960000.

The previous prime is 14077759991. The next prime is 14077760033. The reversal of 14077760000 is 6777041.

It can be written as a sum of positive squares in 20 ways, for example, as 6103984384 + 7973775616 = 78128^2 + 89296^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 343359980 + ... + 343360020.

Almost surely, 2^14077760000 is an apocalyptic number.

14077760000 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 14077760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19127174220).

14077760000 is an abundant number, since it is smaller than the sum of its proper divisors (24176588440).

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

14077760000 is an frugal number, since it uses more digits than its factorization.

14077760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 32.

The spelling of 14077760000 in words is "fourteen billion, seventy-seven million, seven hundred sixty thousand".