1140810497280 has 288 divisors, whose sum is σ = 4286429884800. Its totient is φ = 286320918528.

The previous prime is 1140810497273. The next prime is 1140810497401. The reversal of 1140810497280 is 827940180411.

1140810497280 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 81 + 0 + 497 + 2 + 80 = 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 (45).

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, 383350 + ... + 1558389.

It is an arithmetic number, because the mean of its divisors is an integer number (14883437100).

Almost surely, 2^{1140810497280} is an apocalyptic number.

1140810497280 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 1140810497280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143214942400).

1140810497280 is an abundant number, since it is smaller than the sum of its proper divisors (3145619387520).

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

1140810497280 is a wasteful number, since it uses less digits than its factorization.

1140810497280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941786 (or 1941766 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 1140810497280 in words is "one trillion, one hundred forty billion, eight hundred ten million, four hundred ninety-seven thousand, two hundred eighty".