7413803208900 has 729 divisors, whose sum is σ = 26370016412103. Its totient is φ = 1740868588800.

The previous prime is 7413803208857. The next prime is 7413803208907. The reversal of 7413803208900 is 98023083147.

The square root of 7413803208900 is 2722830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 703796833476 + 6710006375424 = 838926^2 + 2590368^2 .

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 (7413803208907) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 33245754189 + ... + 33245754411.

Almost surely, 2^{7413803208900} is an apocalyptic number.

7413803208900 is the 2722830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7413803208900

7413803208900 is an abundant number, since it is smaller than the sum of its proper divisors (18956213203203).

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

7413803208900 is a wasteful number, since it uses less digits than its factorization.

7413803208900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 7413803208900 in words is "seven trillion, four hundred thirteen billion, eight hundred three million, two hundred eight thousand, nine hundred".