7440401000 has 64 divisors (see below), whose sum is σ = 17445177360. Its totient is φ = 2970240000.

The previous prime is 7440400997. The next prime is 7440401039. The reversal of 7440401000 is 1040447.

It can be written as a sum of positive squares in 8 ways, for example, as 723287236 + 6717113764 = 26894^2 + 81958^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513860 + ... + 528140.

Almost surely, 2^7440401000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7440401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722588680).

7440401000 is an abundant number, since it is smaller than the sum of its proper divisors (10004776360).

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

7440401000 is a wasteful number, since it uses less digits than its factorization.

7440401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14823 (or 14809 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 7440401000 is about 86257.7590712859. The cubic root of 7440401000 is about 1952.2350878344.

Adding to 7440401000 its reverse (1040447), we get a palindrome (7441441447).

The spelling of 7440401000 in words is "seven billion, four hundred forty million, four hundred one thousand".