872146281240 has 640 divisors, whose sum is σ = 3256252876800. Its totient is φ = 208028943360.

The previous prime is 872146281229. The next prime is 872146281263. The reversal of 872146281240 is 42182641278.

872146281240 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 4 + 628 + 12 + 4 + 0 = 666.

It is a super-2 number, since 2×872146281240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 176438209 + ... + 176443151.

It is an arithmetic number, because the mean of its divisors is an integer number (5087895120).

Almost surely, 2^872146281240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872146281240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628126438400).

872146281240 is an abundant number, since it is smaller than the sum of its proper divisors (2384106595560).

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

872146281240 is a wasteful number, since it uses less digits than its factorization.

872146281240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 872146281240 in words is "eight hundred seventy-two billion, one hundred forty-six million, two hundred eighty-one thousand, two hundred forty".