1140435307440 has 800 divisors, whose sum is σ = 4661771127552. Its totient is φ = 254741760000.

The previous prime is 1140435307409. The next prime is 1140435307477. The reversal of 1140435307440 is 447035340411.

1140435307440 is a `hidden beast` number, since 1 + 1 + 40 + 43 + 530 + 7 + 4 + 40 = 666.

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 = 1140435307395 and 1140435307404.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 973898055 + ... + 973899225.

Almost surely, 2^{1140435307440} is an apocalyptic number.

1140435307440 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 1140435307440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330885563776).

1140435307440 is an abundant number, since it is smaller than the sum of its proper divisors (3521335820112).

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

1140435307440 is a wasteful number, since it uses less digits than its factorization.

1140435307440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2271 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 1140435307440 in words is "one trillion, one hundred forty billion, four hundred thirty-five million, three hundred seven thousand, four hundred forty".