14001611400 has 768 divisors, whose sum is σ = 59299776000. Its totient is φ = 3000913920.

The previous prime is 14001611387. The next prime is 14001611401. The reversal of 14001611400 is 411610041.

14001611400 is a `hidden beast` number, since 14 + 0 + 0 + 1 + 611 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14001611401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52050466 + ... + 52050734.

It is an arithmetic number, because the mean of its divisors is an integer number (77213250).

Almost surely, 2^14001611400 is an apocalyptic number.

14001611400 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 14001611400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29649888000).

14001611400 is an abundant number, since it is smaller than the sum of its proper divisors (45298164600).

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

14001611400 is a wasteful number, since it uses less digits than its factorization.

14001611400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The spelling of 14001611400 in words is "fourteen billion, one million, six hundred eleven thousand, four hundred".