1333322630640 has 1920 divisors, whose sum is σ = 6289517445120. Its totient is φ = 244170547200.

The previous prime is 1333322630593. The next prime is 1333322630663. The reversal of 1333322630640 is 460362233331.

1333322630640 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 3 + 2 + 2 + 6 + 3 + 0 + 640 = 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 = 1333322630595 and 1333322630604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1854412201 + ... + 1854412919.

It is an arithmetic number, because the mean of its divisors is an integer number (3275790336).

Almost surely, 2^{1333322630640} is an apocalyptic number.

1333322630640 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 1333322630640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144758722560).

1333322630640 is an abundant number, since it is smaller than the sum of its proper divisors (4956194814480).

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

1333322630640 is a wasteful number, since it uses less digits than its factorization.

1333322630640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 36.

Adding to 1333322630640 its reverse (460362233331), we get a palindrome (1793684863971).

The spelling of 1333322630640 in words is "one trillion, three hundred thirty-three billion, three hundred twenty-two million, six hundred thirty thousand, six hundred forty".