1042041401120 has 96 divisors (see below), whose sum is σ = 2502665287920. Its totient is φ = 409904087040.

The previous prime is 1042041401113. The next prime is 1042041401131. The reversal of 1042041401120 is 211041402401.

1042041401120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 268858842256 + 773182558864 = 518516^2 + 879308^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1042041401092 and 1042041401101.

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, 96901664 + ... + 96912416.

Almost surely, 2^{1042041401120} is an apocalyptic number.

1042041401120 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 1042041401120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251332643960).

1042041401120 is an abundant number, since it is smaller than the sum of its proper divisors (1460623886800).

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

1042041401120 is a wasteful number, since it uses less digits than its factorization.

1042041401120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20758 (or 20750 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1042041401120 its reverse (211041402401), we get a palindrome (1253082803521).

The spelling of 1042041401120 in words is "one trillion, forty-two billion, forty-one million, four hundred one thousand, one hundred twenty".