14120455631400 has 768 divisors, whose sum is σ = 50514088320000. Its totient is φ = 3623380992000.

The previous prime is 14120455631369. The next prime is 14120455631413. The reversal of 14120455631400 is 413655402141.

14120455631400 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 0 + 455 + 63 + 140 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3819434352 + ... + 3819438048.

It is an arithmetic number, because the mean of its divisors is an integer number (65773552500).

Almost surely, 2^{14120455631400} is an apocalyptic number.

14120455631400 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 14120455631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25257044160000).

14120455631400 is an abundant number, since it is smaller than the sum of its proper divisors (36393632688600).

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

14120455631400 is a wasteful number, since it uses less digits than its factorization.

14120455631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 14120455631400 in words is "fourteen trillion, one hundred twenty billion, four hundred fifty-five million, six hundred thirty-one thousand, four hundred".