14092365840400 has 45 divisors (see below), whose sum is σ = 33857089311261. Its totient is φ = 5636916304320.

The previous prime is 14092365840379. The next prime is 14092365840439. The reversal of 14092365840400 is 404856329041.

The square root of 14092365840400 is 3753980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5073251702544 + 9019114137856 = 2252388^2 + 3003184^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74985751 + ... + 75173449.

Almost surely, 2^{14092365840400} is an apocalyptic number.

14092365840400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14092365840400 is the 3753980-th square number.

It is an amenable number.

14092365840400 is an abundant number, since it is smaller than the sum of its proper divisors (19764723470861).

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

14092365840400 is an frugal number, since it uses more digits than its factorization.

14092365840400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375416 (or 187706 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 14092365840400 in words is "fourteen trillion, ninety-two billion, three hundred sixty-five million, eight hundred forty thousand, four hundred".