1040375200 has 72 divisors (see below), whose sum is σ = 2546672940. Its totient is φ = 415027200.

The previous prime is 1040375177. The next prime is 1040375207. The reversal of 1040375200 is 25730401.

It can be written as a sum of positive squares in 6 ways, for example, as 269091216 + 771283984 = 16404^2 + 27772^2 .

It is not an unprimeable number, because it can be changed into a prime (1040375207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335256 + ... + 338344.

Almost surely, 2^1040375200 is an apocalyptic number.

1040375200 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 1040375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273336470).

1040375200 is an abundant number, since it is smaller than the sum of its proper divisors (1506297740).

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

1040375200 is a wasteful number, since it uses less digits than its factorization.

1040375200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 1040375200 is about 32254.8476976717. The cubic root of 1040375200 is about 1013.2812280841.

The spelling of 1040375200 in words is "one billion, forty million, three hundred seventy-five thousand, two hundred".