7399440400 has 405 divisors, whose sum is σ = 21698940823. Its totient is φ = 2422323200.

The previous prime is 7399440397. The next prime is 7399440401. The reversal of 7399440400 is 40449937.

The square root of 7399440400 is 86020.

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 173080336 + 7226360064 = 13156^2 + 85008^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7399440401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 321714789 + ... + 321714811.

Almost surely, 2^7399440400 is an apocalyptic number.

7399440400 is the 86020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7399440400

7399440400 is an abundant number, since it is smaller than the sum of its proper divisors (14299500423).

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

7399440400 is a wasteful number, since it uses less digits than its factorization.

7399440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The cubic root of 7399440400 is about 1948.6460379737.

The spelling of 7399440400 in words is "seven billion, three hundred ninety-nine million, four hundred forty thousand, four hundred".