1140819973632 has 320 divisors, whose sum is σ = 3419543635200. Its totient is φ = 375490805760.

The previous prime is 1140819973621. The next prime is 1140819973681. The reversal of 1140819973632 is 2363799180411.

1140819973632 is a `hidden beast` number, since 11 + 408 + 199 + 7 + 3 + 6 + 32 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 883670907 + ... + 883672197.

It is an arithmetic number, because the mean of its divisors is an integer number (10686073860).

Almost surely, 2^{1140819973632} is an apocalyptic number.

1140819973632 is a gapful number since it is divisible by the number (12) 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 1140819973632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709771817600).

1140819973632 is an abundant number, since it is smaller than the sum of its proper divisors (2278723661568).

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

1140819973632 is an equidigital number, since it uses as much as digits as its factorization.

1140819973632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1140819973632 in words is "one trillion, one hundred forty billion, eight hundred nineteen million, nine hundred seventy-three thousand, six hundred thirty-two".