7172449520400 has 180 divisors, whose sum is σ = 25016741824932. Its totient is φ = 1902944117760.

The previous prime is 7172449520381. The next prime is 7172449520441. The reversal of 7172449520400 is 40259442717.

7172449520400 is a `hidden beast` number, since 71 + 72 + 4 + 4 + 95 + 20 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1928587677696 + 5243861842704 = 1388736^2 + 2289948^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-3 number, since 3×7172449520400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4347519 + ... + 5765918.

Almost surely, 2^{7172449520400} is an apocalyptic number.

It is an amenable number.

7172449520400 is an abundant number, since it is smaller than the sum of its proper divisors (17844292304532).

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

7172449520400 is a wasteful number, since it uses less digits than its factorization.

7172449520400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10113658 (or 10113644 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 7172449520400 in words is "seven trillion, one hundred seventy-two billion, four hundred forty-nine million, five hundred twenty thousand, four hundred".