1040042400 has 72 divisors (see below), whose sum is σ = 3385345824. Its totient is φ = 277344000.

The previous prime is 1040042327. The next prime is 1040042411. The reversal of 1040042400 is 42400401.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1040042400.

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, 214276 + ... + 219075.

It is an arithmetic number, because the mean of its divisors is an integer number (47018692).

Almost surely, 2^1040042400 is an apocalyptic number.

1040042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040042400 is an abundant number, since it is smaller than the sum of its proper divisors (2345303424).

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

1040042400 is a wasteful number, since it uses less digits than its factorization.

1040042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433374 (or 433361 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1040042400 is about 32249.6883705874. The cubic root of 1040042400 is about 1013.1731722096.

Adding to 1040042400 its reverse (42400401), we get a palindrome (1082442801).

The spelling of 1040042400 in words is "one billion, forty million, forty-two thousand, four hundred".