9040206400 has 63 divisors (see below), whose sum is σ = 22253920059. Its totient is φ = 3614561280.

The previous prime is 9040206397. The next prime is 9040206431. The reversal of 9040206400 is 46020409.

The square root of 9040206400 is 95080.

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 540841536 + 8499364864 = 23256^2 + 92192^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3802012 + ... + 3804388.

Almost surely, 2^9040206400 is an apocalyptic number.

9040206400 is the 95080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9040206400

9040206400 is an abundant number, since it is smaller than the sum of its proper divisors (13213713659).

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

9040206400 is an frugal number, since it uses more digits than its factorization.

9040206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The cubic root of 9040206400 is about 2083.1767286372.

Multiplying 9040206400 by its sum of digits (25), we get a square (226005160000 = 475400²).

9040206400 divided by its sum of digits (25) gives a square (361608256 = 19016²).

Adding to 9040206400 its reverse (46020409), we get a palindrome (9086226809).

The spelling of 9040206400 in words is "nine billion, forty million, two hundred six thousand, four hundred".