1140922823040 has 1152 divisors, whose sum is σ = 5330103105600. Its totient is φ = 218826178560.

The previous prime is 1140922823039. The next prime is 1140922823071. The reversal of 1140922823040 is 403282290411.

1140922823040 is a `hidden beast` number, since 1 + 1 + 409 + 228 + 23 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 1140922822986 and 1140922823004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 63414366 + ... + 63432354.

Almost surely, 2^{1140922823040} is an apocalyptic number.

1140922823040 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 1140922823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665051552800).

1140922823040 is an abundant number, since it is smaller than the sum of its proper divisors (4189180282560).

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

1140922823040 is a wasteful number, since it uses less digits than its factorization.

1140922823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18056 (or 18030 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1140922823040 in words is "one trillion, one hundred forty billion, nine hundred twenty-two million, eight hundred twenty-three thousand, forty".