1140934350080 has 576 divisors, whose sum is σ = 3350061711360. Its totient is φ = 363637112832.

The previous prime is 1140934350079. The next prime is 1140934350103. The reversal of 1140934350080 is 800534390411.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2443114007 + ... + 2443114473.

It is an arithmetic number, because the mean of its divisors is an integer number (5816079360).

Almost surely, 2^{1140934350080} is an apocalyptic number.

1140934350080 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 1140934350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675030855680).

1140934350080 is an abundant number, since it is smaller than the sum of its proper divisors (2209127361280).

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

1140934350080 is a wasteful number, since it uses less digits than its factorization.

1140934350080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 1140934350080 in words is "one trillion, one hundred forty billion, nine hundred thirty-four million, three hundred fifty thousand, eighty".