1322118635040 has 1152 divisors, whose sum is σ = 5479778304000. Its totient is φ = 289808547840.

The previous prime is 1322118635029. The next prime is 1322118635053. The reversal of 1322118635040 is 405368112231.

1322118635040 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 18 + 635 + 0 + 4 + 0 = 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 = 1322118634986 and 1322118635004.

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 191 ways as a sum of consecutive naturals, for example, 3452006689 + ... + 3452007071.

It is an arithmetic number, because the mean of its divisors is an integer number (4756752000).

Almost surely, 2^{1322118635040} is an apocalyptic number.

1322118635040 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 1322118635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739889152000).

1322118635040 is an abundant number, since it is smaller than the sum of its proper divisors (4157659668960).

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

1322118635040 is a wasteful number, since it uses less digits than its factorization.

1322118635040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1322118635040 in words is "one trillion, three hundred twenty-two billion, one hundred eighteen million, six hundred thirty-five thousand, forty".