1004342540040 has 384 divisors, whose sum is σ = 3788845632000. Its totient is φ = 225995857920.

The previous prime is 1004342540021. The next prime is 1004342540087. The reversal of 1004342540040 is 400452434001.

It is a happy number.

1004342540040 is a `hidden beast` number, since 1 + 0 + 0 + 43 + 42 + 540 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1004342539986 and 1004342540013.

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, 42417405 + ... + 42441075.

It is an arithmetic number, because the mean of its divisors is an integer number (9866785500).

Almost surely, 2^{1004342540040} is an apocalyptic number.

1004342540040 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 1004342540040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894422816000).

1004342540040 is an abundant number, since it is smaller than the sum of its proper divisors (2784503091960).

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

1004342540040 is a wasteful number, since it uses less digits than its factorization.

1004342540040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23957 (or 23950 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1004342540040 its reverse (400452434001), we get a palindrome (1404794974041).

The spelling of 1004342540040 in words is "one trillion, four billion, three hundred forty-two million, five hundred forty thousand, forty".