1004001440442 has 256 divisors, whose sum is σ = 2810295226368. Its totient is φ = 230714542080.

The previous prime is 1004001440399. The next prime is 1004001440459. The reversal of 1004001440442 is 2440441004001.

It is a happy number.

1004001440442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1004001440442² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14855158 + ... + 14922590.

It is an arithmetic number, because the mean of its divisors is an integer number (10977715728).

Almost surely, 2^{1004001440442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004001440442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405147613184).

1004001440442 is an abundant number, since it is smaller than the sum of its proper divisors (1806293785926).

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

1004001440442 is a wasteful number, since it uses less digits than its factorization.

1004001440442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67573.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1004001440442 its reverse (2440441004001), we get a palindrome (3444442444443).

The spelling of 1004001440442 in words is "one trillion, four billion, one million, four hundred forty thousand, four hundred forty-two".