1040002400 has 72 divisors (see below), whose sum is σ = 2552180400. Its totient is φ = 413826560.

The previous prime is 1040002361. The next prime is 1040002427. The reversal of 1040002400 is 42000401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154301 + ... + 160899.

It is an arithmetic number, because the mean of its divisors is an integer number (35446950).

Almost surely, 2^1040002400 is an apocalyptic number.

1040002400 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 1040002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276090200).

1040002400 is an abundant number, since it is smaller than the sum of its proper divisors (1512178000).

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

1040002400 is a wasteful number, since it uses less digits than its factorization.

1040002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 1040002400 is about 32249.0682035931. The cubic root of 1040002400 is about 1013.1601831730.

Adding to 1040002400 its reverse (42000401), we get a palindrome (1082002801).

The spelling of 1040002400 in words is "one billion, forty million, two thousand, four hundred".