822251427840 has 288 divisors, whose sum is σ = 2973686657760. Its totient is φ = 209733156864.

The previous prime is 822251427827. The next prime is 822251427883. The reversal of 822251427840 is 48724152228.

822251427840 is a `hidden beast` number, since 8 + 2 + 22 + 514 + 2 + 78 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925724 + ... + 2313636.

It is an arithmetic number, because the mean of its divisors is an integer number (10325300895).

Almost surely, 2^822251427840 is an apocalyptic number.

822251427840 is a gapful number since it is divisible by the number (80) 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 822251427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486843328880).

822251427840 is an abundant number, since it is smaller than the sum of its proper divisors (2151435229920).

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

822251427840 is a wasteful number, since it uses less digits than its factorization.

822251427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387969 (or 387946 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 822251427840 in words is "eight hundred twenty-two billion, two hundred fifty-one million, four hundred twenty-seven thousand, eight hundred forty".