1001335412040 has 64 divisors (see below), whose sum is σ = 3004487069760. Its totient is φ = 266980035840.

The previous prime is 1001335412009. The next prime is 1001335412041. The reversal of 1001335412040 is 402145331001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1001335412040.

It is not an unprimeable number, because it can be changed into a prime (1001335412041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88555 + ... + 1417925.

It is an arithmetic number, because the mean of its divisors is an integer number (46945110465).

Almost surely, 2^{1001335412040} is an apocalyptic number.

1001335412040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001335412040 is an abundant number, since it is smaller than the sum of its proper divisors (2003151657720).

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

1001335412040 is a wasteful number, since it uses less digits than its factorization.

1001335412040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335662 (or 1335658 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 1001335412040 in words is "one trillion, one billion, three hundred thirty-five million, four hundred twelve thousand, forty".