14457270240000 has 3240 divisors, whose sum is σ = 65468228585760. Its totient is φ = 3000582144000.

The previous prime is 14457270239987. The next prime is 14457270240041. The reversal of 14457270240000 is 4207275441.

14457270240000 is a `hidden beast` number, since 1 + 44 + 572 + 7 + 0 + 2 + 40 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 105527519932 + ... + 105527520068.

Almost surely, 2^{14457270240000} is an apocalyptic number.

14457270240000 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 14457270240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32734114292880).

14457270240000 is an abundant number, since it is smaller than the sum of its proper divisors (51010958345760).

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

14457270240000 is a wasteful number, since it uses less digits than its factorization.

14457270240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 14457270240000 in words is "fourteen trillion, four hundred fifty-seven billion, two hundred seventy million, two hundred forty thousand".