1042401120 has 96 divisors (see below), whose sum is σ = 3302806752. Its totient is φ = 276344832.

The previous prime is 1042401083. The next prime is 1042401131. The reversal of 1042401120 is 211042401.

1042401120 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 1042401120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76764 + ... + 89316.

It is an arithmetic number, because the mean of its divisors is an integer number (34404237).

Almost surely, 2^1042401120 is an apocalyptic number.

1042401120 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 1042401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651403376).

1042401120 is an abundant number, since it is smaller than the sum of its proper divisors (2260405632).

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

1042401120 is a wasteful number, since it uses less digits than its factorization.

1042401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12744 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1042401120 is about 32286.2373156117. The cubic root of 1042401120 is about 1013.9385216122.

Adding to 1042401120 its reverse (211042401), we get a palindrome (1253443521).

The spelling of 1042401120 in words is "one billion, forty-two million, four hundred one thousand, one hundred twenty".