14061893414400 has 600 divisors, whose sum is σ = 56047547118024. Its totient is φ = 3461385830400.

The previous prime is 14061893414383. The next prime is 14061893414417. The reversal of 14061893414400 is 441439816041.

14061893414400 is a `hidden beast` number, since 1 + 40 + 61 + 89 + 34 + 1 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14061893414383) and next prime (14061893414417).

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12956755 + ... + 14000045.

Almost surely, 2^{14061893414400} is an apocalyptic number.

14061893414400 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 14061893414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28023773559012).

14061893414400 is an abundant number, since it is smaller than the sum of its proper divisors (41985653703624).

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

14061893414400 is a wasteful number, since it uses less digits than its factorization.

14061893414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043344 (or 1043314 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14061893414400 in words is "fourteen trillion, sixty-one billion, eight hundred ninety-three million, four hundred fourteen thousand, four hundred".