14540920934400 has 1092 divisors, whose sum is σ = 61786097213472. Its totient is φ = 3323519631360.

The previous prime is 14540920934399. The next prime is 14540920934429. The reversal of 14540920934400 is 443902904541.

14540920934400 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 0 + 9 + 209 + 34 + 400 = 666.

It is a super-2 number, since 2×14540920934400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 522533287 + ... + 522561113.

Almost surely, 2^{14540920934400} is an apocalyptic number.

14540920934400 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 14540920934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30893048606736).

14540920934400 is an abundant number, since it is smaller than the sum of its proper divisors (47245176279072).

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

14540920934400 is an frugal number, since it uses more digits than its factorization.

14540920934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27886 (or 27844 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 14540920934400 in words is "fourteen trillion, five hundred forty billion, nine hundred twenty million, nine hundred thirty-four thousand, four hundred".