1152704343840 has 384 divisors, whose sum is σ = 4250973726720. Its totient is φ = 257112956928.

The previous prime is 1152704343829. The next prime is 1152704343911. The reversal of 1152704343840 is 483434072511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1152704343792 and 1152704343801.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27137659 + ... + 27180101.

It is an arithmetic number, because the mean of its divisors is an integer number (11070244080).

Almost surely, 2^{1152704343840} is an apocalyptic number.

1152704343840 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 1152704343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125486863360).

1152704343840 is an abundant number, since it is smaller than the sum of its proper divisors (3098269382880).

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

1152704343840 is a wasteful number, since it uses less digits than its factorization.

1152704343840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42664 (or 42656 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 1152704343840 in words is "one trillion, one hundred fifty-two billion, seven hundred four million, three hundred forty-three thousand, eight hundred forty".