1140108263040 has 256 divisors, whose sum is σ = 3803604480000. Its totient is φ = 289927925760.

The previous prime is 1140108263011. The next prime is 1140108263071. The reversal of 1140108263040 is 403628010411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1140108262989 and 1140108263007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14577961 + ... + 14655959.

It is an arithmetic number, because the mean of its divisors is an integer number (14857830000).

Almost surely, 2^{1140108263040} is an apocalyptic number.

1140108263040 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 1140108263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901802240000).

1140108263040 is an abundant number, since it is smaller than the sum of its proper divisors (2663496216960).

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

1140108263040 is a wasteful number, since it uses less digits than its factorization.

1140108263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78375 (or 78363 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 1140108263040 in words is "one trillion, one hundred forty billion, one hundred eight million, two hundred sixty-three thousand, forty".