1001140611240 has 128 divisors (see below), whose sum is σ = 3744525957120. Its totient is φ = 208029216000.

The previous prime is 1001140611227. The next prime is 1001140611241. The reversal of 1001140611240 is 421160411001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1001140611241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54165036 + ... + 54183515.

It is an arithmetic number, because the mean of its divisors is an integer number (29254109040).

Almost surely, 2^{1001140611240} is an apocalyptic number.

1001140611240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001140611240 is an abundant number, since it is smaller than the sum of its proper divisors (2743385345880).

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

1001140611240 is a wasteful number, since it uses less digits than its factorization.

1001140611240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108348583 (or 108348579 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The spelling of 1001140611240 in words is "one trillion, one billion, one hundred forty million, six hundred eleven thousand, two hundred forty".