1042441400 has 384 divisors, whose sum is σ = 3359784960. Its totient is φ = 290304000.

The previous prime is 1042441339. The next prime is 1042441417. The reversal of 1042441400 is 41442401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8208137 + ... + 8208263.

It is an arithmetic number, because the mean of its divisors is an integer number (8749440).

Almost surely, 2^1042441400 is an apocalyptic number.

1042441400 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 1042441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679892480).

1042441400 is an abundant number, since it is smaller than the sum of its proper divisors (2317343560).

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

1042441400 is a wasteful number, since it uses less digits than its factorization.

1042441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1042441400 is about 32286.8611047900. The cubic root of 1042441400 is about 1013.9515814976.

Adding to 1042441400 its reverse (41442401), we get a palindrome (1083883801).

It can be divided in two parts, 1042441 and 400, that multiplied together give a square (416976400 = 20420²).

The spelling of 1042441400 in words is "one billion, forty-two million, four hundred forty-one thousand, four hundred".