14377261440 has 128 divisors (see below), whose sum is σ = 46473419520. Its totient is φ = 3779901440.

The previous prime is 14377261391. The next prime is 14377261447. The reversal of 14377261440 is 4416277341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14377261440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14377261447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83587 + ... + 189053.

It is an arithmetic number, because the mean of its divisors is an integer number (363073590).

Almost surely, 2^14377261440 is an apocalyptic number.

14377261440 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 14377261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23236709760).

14377261440 is an abundant number, since it is smaller than the sum of its proper divisors (32096158080).

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

14377261440 is a wasteful number, since it uses less digits than its factorization.

14377261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105560 (or 105548 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 14377261440 in words is "fourteen billion, three hundred seventy-seven million, two hundred sixty-one thousand, four hundred forty".