14472580550400 has 648 divisors, whose sum is σ = 59188801570080. Its totient is φ = 3304984412160.

The previous prime is 14472580550383. The next prime is 14472580550563. The reversal of 14472580550400 is 405508527441.

14472580550400 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 2 + 58 + 0 + 550 + 40 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 455196904 + ... + 455228696.

Almost surely, 2^{14472580550400} is an apocalyptic number.

14472580550400 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 14472580550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29594400785040).

14472580550400 is an abundant number, since it is smaller than the sum of its proper divisors (44716221019680).

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

14472580550400 is a wasteful number, since it uses less digits than its factorization.

14472580550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32961 (or 32939 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 45.

The spelling of 14472580550400 in words is "fourteen trillion, four hundred seventy-two billion, five hundred eighty million, five hundred fifty thousand, four hundred".