1001234013040 has 20 divisors (see below), whose sum is σ = 2327869080504. Its totient is φ = 400493605184.

The previous prime is 1001234012969. The next prime is 1001234013041. The reversal of 1001234013040 is 403104321001.

1001234013040 is digitally balanced in base 2, 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 1001234012999 and 1001234013017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001234013041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6257712502 + ... + 6257712661.

Almost surely, 2^{1001234013040} is an apocalyptic number.

1001234013040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001234013040 is an abundant number, since it is smaller than the sum of its proper divisors (1326635067464).

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

1001234013040 is a wasteful number, since it uses less digits than its factorization.

1001234013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12515425176 (or 12515425170 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 1001234013040 its reverse (403104321001), we get a palindrome (1404338334041).

The spelling of 1001234013040 in words is "one trillion, one billion, two hundred thirty-four million, thirteen thousand, forty".