14057400462400 has 189 divisors, whose sum is σ = 35139082308309. Its totient is φ = 5535076124160.

The previous prime is 14057400462397. The next prime is 14057400462461. The reversal of 14057400462400 is 426400475041.

The square root of 14057400462400 is 3749320.

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., 5060664166464 + 8996736295936 = 2249592^2 + 2999456^2 .

It is a super-3 number, since 3×14057400462400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14057400462400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10048176901 + ... + 10048178299.

Almost surely, 2^{14057400462400} is an apocalyptic number.

14057400462400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14057400462400 is the 3749320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14057400462400

14057400462400 is an abundant number, since it is smaller than the sum of its proper divisors (21081681845909).

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

14057400462400 is an frugal number, since it uses more digits than its factorization.

14057400462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The spelling of 14057400462400 in words is "fourteen trillion, fifty-seven billion, four hundred million, four hundred sixty-two thousand, four hundred".