14049961574400 has 1440 divisors, whose sum is σ = 54882834930000. Its totient is φ = 3519692144640.

The previous prime is 14049961574393. The next prime is 14049961574423. The reversal of 14049961574400 is 447516994041.

It is a happy number.

14049961574400 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 9 + 9 + 61 + 574 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 379728691182 + ... + 379728691218.

Almost surely, 2^{14049961574400} is an apocalyptic number.

14049961574400 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 14049961574400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27441417465000).

14049961574400 is an abundant number, since it is smaller than the sum of its proper divisors (40832873355600).

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

14049961574400 is an frugal number, since it uses more digits than its factorization.

14049961574400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 14049961574400 in words is "fourteen trillion, forty-nine billion, nine hundred sixty-one million, five hundred seventy-four thousand, four hundred".