1140595223040 has 2560 divisors, whose sum is σ = 5329158912000. Its totient is φ = 226074820608.

The previous prime is 1140595223039. The next prime is 1140595223063. The reversal of 1140595223040 is 403225950411.

1140595223040 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 595 + 2 + 23 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1140595222986 and 1140595223004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30826897902 + ... + 30826897938.

It is an arithmetic number, because the mean of its divisors is an integer number (2081702700).

Almost surely, 2^{1140595223040} is an apocalyptic number.

1140595223040 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 1140595223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664579456000).

1140595223040 is an abundant number, since it is smaller than the sum of its proper divisors (4188563688960).

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

1140595223040 is an equidigital number, since it uses as much as digits as its factorization.

1140595223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 1140595223040 in words is "one trillion, one hundred forty billion, five hundred ninety-five million, two hundred twenty-three thousand, forty".