14275742473200 has 120 divisors (see below), whose sum is σ = 49247651139568. Its totient is φ = 3514028912640.

The previous prime is 14275742473093. The next prime is 14275742473217. The reversal of 14275742473200 is 237424757241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14275742473200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14275742473200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 457540249 + ... + 457571448.

Almost surely, 2^{14275742473200} is an apocalyptic number.

14275742473200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14275742473200 is an abundant number, since it is smaller than the sum of its proper divisors (34971908666368).

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

14275742473200 is a wasteful number, since it uses less digits than its factorization.

14275742473200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915111731 (or 915111720 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 48.

The spelling of 14275742473200 in words is "fourteen trillion, two hundred seventy-five billion, seven hundred forty-two million, four hundred seventy-three thousand, two hundred".