1140435996480 has 1344 divisors, whose sum is σ = 4726063964160. Its totient is φ = 258064773120.

The previous prime is 1140435996421. The next prime is 1140435996499. The reversal of 1140435996480 is 846995340411.

1140435996480 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 3 + 599 + 6 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1033939609 + ... + 1033940711.

It is an arithmetic number, because the mean of its divisors is an integer number (3516416640).

Almost surely, 2^{1140435996480} is an apocalyptic number.

1140435996480 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 1140435996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363031982080).

1140435996480 is an abundant number, since it is smaller than the sum of its proper divisors (3585627967680).

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

1140435996480 is a wasteful number, since it uses less digits than its factorization.

1140435996480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1140435996480 in words is "one trillion, one hundred forty billion, four hundred thirty-five million, nine hundred ninety-six thousand, four hundred eighty".