1140355345536 has 768 divisors, whose sum is σ = 3998596492800. Its totient is φ = 319626362880.

The previous prime is 1140355345513. The next prime is 1140355345537. The reversal of 1140355345536 is 6355435530411.

1140355345536 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 3 + 553 + 45 + 53 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1140355345491 and 1140355345500.

It is not an unprimeable number, because it can be changed into a prime (1140355345537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 343168771 + ... + 343172093.

It is an arithmetic number, because the mean of its divisors is an integer number (5206505850).

Almost surely, 2^{1140355345536} is an apocalyptic number.

1140355345536 is a gapful number since it is divisible by the number (16) 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 1140355345536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999298246400).

1140355345536 is an abundant number, since it is smaller than the sum of its proper divisors (2858241147264).

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

1140355345536 is a wasteful number, since it uses less digits than its factorization.

1140355345536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 1140355345536 in words is "one trillion, one hundred forty billion, three hundred fifty-five million, three hundred forty-five thousand, five hundred thirty-six".