1473872630400 has 1440 divisors, whose sum is σ = 5771042309340. Its totient is φ = 370262016000.

The previous prime is 1473872630383. The next prime is 1473872630401. The reversal of 1473872630400 is 40362783741.

1473872630400 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 8 + 7 + 2 + 630 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 142285875264 + 1331586755136 = 377208^2 + 1153944^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (1473872630401) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 15194563152 + ... + 15194563248.

Almost surely, 2^{1473872630400} is an apocalyptic number.

1473872630400 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 1473872630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885521154670).

1473872630400 is an abundant number, since it is smaller than the sum of its proper divisors (4297169678940).

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

1473872630400 is an equidigital number, since it uses as much as digits as its factorization.

1473872630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1473872630400 in words is "one trillion, four hundred seventy-three billion, eight hundred seventy-two million, six hundred thirty thousand, four hundred".