14574014400 has 504 divisors, whose sum is σ = 54892236672. Its totient is φ = 3376384000.

The previous prime is 14574014393. The next prime is 14574014443. The reversal of 14574014400 is 441047541.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13357855 + ... + 13358945.

It is an arithmetic number, because the mean of its divisors is an integer number (108913168).

Almost surely, 2^14574014400 is an apocalyptic number.

14574014400 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 14574014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27446118336).

14574014400 is an abundant number, since it is smaller than the sum of its proper divisors (40318222272).

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

14574014400 is a wasteful number, since it uses less digits than its factorization.

14574014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 14574014400 in words is "fourteen billion, five hundred seventy-four million, fourteen thousand, four hundred".