1140231702528 has 288 divisors, whose sum is σ = 3325696920000. Its totient is φ = 376344576000.

The previous prime is 1140231702527. The next prime is 1140231702541. The reversal of 1140231702528 is 8252071320411.

1140231702528 is a `hidden beast` number, since 1 + 1 + 40 + 23 + 1 + 70 + 2 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 1140231702492 and 1140231702501.

It is not an unprimeable number, because it can be changed into a prime (1140231702523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388832358 + ... + 1388833178.

It is an arithmetic number, because the mean of its divisors is an integer number (11547558750).

Almost surely, 2^{1140231702528} is an apocalyptic number.

1140231702528 is a gapful number since it is divisible by the number (18) 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 1140231702528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662848460000).

1140231702528 is an abundant number, since it is smaller than the sum of its proper divisors (2185465217472).

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

1140231702528 is a wasteful number, since it uses less digits than its factorization.

1140231702528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1140231702528 in words is "one trillion, one hundred forty billion, two hundred thirty-one million, seven hundred two thousand, five hundred twenty-eight".