1140407009280 has 2016 divisors, whose sum is σ = 5281179015168. Its totient is φ = 229323571200.

The previous prime is 1140407009243. The next prime is 1140407009303. The reversal of 1140407009280 is 829007040411.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1140407009280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36787322865 + ... + 36787322895.

It is an arithmetic number, because the mean of its divisors is an integer number (2619632448).

Almost surely, 2^{1140407009280} is an apocalyptic number.

1140407009280 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 1140407009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640589507584).

1140407009280 is an abundant number, since it is smaller than the sum of its proper divisors (4140772005888).

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

1140407009280 is an frugal number, since it uses more digits than its factorization.

1140407009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1140407009280 in words is "one trillion, one hundred forty billion, four hundred seven million, nine thousand, two hundred eighty".