1040372400 has 120 divisors (see below), whose sum is σ = 3440287744. Its totient is φ = 268473600.

The previous prime is 1040372393. The next prime is 1040372407. The reversal of 1040372400 is 42730401.

It is an interprime number because it is at equal distance from previous prime (1040372393) and next prime (1040372407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040372407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23217 + ... + 51183.

Almost surely, 2^1040372400 is an apocalyptic number.

1040372400 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 1040372400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720143872).

1040372400 is an abundant number, since it is smaller than the sum of its proper divisors (2399915344).

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

1040372400 is a wasteful number, since it uses less digits than its factorization.

1040372400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28019 (or 28008 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 1040372400 is about 32254.8042933142. The cubic root of 1040372400 is about 1013.2803190563.

The spelling of 1040372400 in words is "one billion, forty million, three hundred seventy-two thousand, four hundred".