1140101340 has 96 divisors (see below), whose sum is σ = 3672689664. Its totient is φ = 258854400.

The previous prime is 1140101297. The next prime is 1140101341. The reversal of 1140101340 is 431010411.

1140101340 = 4223² + 4224² + ... + 4285².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140101341) 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, 54432 + ... + 72408.

It is an arithmetic number, because the mean of its divisors is an integer number (38257184).

Almost surely, 2^1140101340 is an apocalyptic number.

1140101340 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 1140101340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836344832).

1140101340 is an abundant number, since it is smaller than the sum of its proper divisors (2532588324).

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

1140101340 is a wasteful number, since it uses less digits than its factorization.

1140101340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18147 (or 18145 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1140101340 is about 33765.3867148001. The cubic root of 1140101340 is about 1044.6748803541.

Adding to 1140101340 its reverse (431010411), we get a palindrome (1571111751).

It can be divided in two parts, 1140 and 101340, that multiplied together give a triangular number (115527600 = T₁₅₂₀₀).

The spelling of 1140101340 in words is "one billion, one hundred forty million, one hundred one thousand, three hundred forty".