14252089433400 has 2304 divisors, whose sum is σ = 63804206269440. Its totient is φ = 2876398387200.

The previous prime is 14252089433399. The next prime is 14252089433443. The reversal of 14252089433400 is 433498025241.

14252089433400 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 208 + 9 + 4 + 33 + 400 = 666.

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 575 ways as a sum of consecutive naturals, for example, 9610309059 + ... + 9610310541.

It is an arithmetic number, because the mean of its divisors is an integer number (27692797860).

Almost surely, 2^{14252089433400} is an apocalyptic number.

14252089433400 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 14252089433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31902103134720).

14252089433400 is an abundant number, since it is smaller than the sum of its proper divisors (49552116836040).

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

14252089433400 is a wasteful number, since it uses less digits than its factorization.

14252089433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 14252089433400 in words is "fourteen trillion, two hundred fifty-two billion, eighty-nine million, four hundred thirty-three thousand, four hundred".