1042400400 has 120 divisors (see below), whose sum is σ = 3420760224. Its totient is φ = 271180800.

The previous prime is 1042400399. The next prime is 1042400419. The reversal of 1042400400 is 40042401.

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

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 1042400400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38607 + ... + 59793.

Almost surely, 2^1042400400 is an apocalyptic number.

1042400400 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 1042400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710380112).

1042400400 is an abundant number, since it is smaller than the sum of its proper divisors (2378359824).

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

1042400400 is a wasteful number, since it uses less digits than its factorization.

1042400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21249 (or 21238 counting only the distinct ones).

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

The square root of 1042400400 is about 32286.2261653480. The cubic root of 1042400400 is about 1013.9382881653.

Adding to 1042400400 its reverse (40042401), we get a palindrome (1082442801).

The spelling of 1042400400 in words is "one billion, forty-two million, four hundred thousand, four hundred".