855191296440 has 640 divisors, whose sum is σ = 3237518592000. Its totient is φ = 200893271040.

The previous prime is 855191296411. The next prime is 855191296457. The reversal of 855191296440 is 44692191558.

855191296440 is a `hidden beast` number, since 8 + 5 + 5 + 191 + 2 + 9 + 6 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 611286861 + ... + 611288259.

It is an arithmetic number, because the mean of its divisors is an integer number (5058622800).

Almost surely, 2^855191296440 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 855191296440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618759296000).

855191296440 is an abundant number, since it is smaller than the sum of its proper divisors (2382327295560).

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

855191296440 is a wasteful number, since it uses less digits than its factorization.

855191296440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 855191296440 in words is "eight hundred fifty-five billion, one hundred ninety-one million, two hundred ninety-six thousand, four hundred forty".