1322505131040 has 960 divisors, whose sum is σ = 5065633520640. Its totient is φ = 324188282880.

The previous prime is 1322505131039. The next prime is 1322505131089. The reversal of 1322505131040 is 401315052231.

1322505131040 is a `hidden beast` number, since 1 + 3 + 22 + 505 + 131 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1322505130995 and 1322505131013.

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, 639199126 + ... + 639201194.

It is an arithmetic number, because the mean of its divisors is an integer number (5276701584).

Almost surely, 2^{1322505131040} is an apocalyptic number.

1322505131040 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 1322505131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532816760320).

1322505131040 is an abundant number, since it is smaller than the sum of its proper divisors (3743128389600).

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

1322505131040 is a wasteful number, since it uses less digits than its factorization.

1322505131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2190 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1322505131040 in words is "one trillion, three hundred twenty-two billion, five hundred five million, one hundred thirty-one thousand, forty".