1822925687040 has 216 divisors, whose sum is σ = 6372158884728. Its totient is φ = 481101742080.

The previous prime is 1822925686987. The next prime is 1822925687057. The reversal of 1822925687040 is 407865292281.

1822925687040 is a `hidden beast` number, since 1 + 8 + 2 + 2 + 9 + 2 + 568 + 70 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 137457045504 + 1685468641536 = 370752^2 + 1298256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301770 + ... + 1933110.

Almost surely, 2^{1822925687040} is an apocalyptic number.

1822925687040 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 1822925687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186079442364).

1822925687040 is an abundant number, since it is smaller than the sum of its proper divisors (4549233197688).

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

1822925687040 is a wasteful number, since it uses less digits than its factorization.

1822925687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631465 (or 1631448 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1822925687040 in words is "one trillion, eight hundred twenty-two billion, nine hundred twenty-five million, six hundred eighty-seven thousand, forty".