890722045440 has 240 divisors, whose sum is σ = 3088464432768. Its totient is φ = 237245349888.

The previous prime is 890722045351. The next prime is 890722045457. The reversal of 890722045440 is 44540227098.

890722045440 is a `hidden beast` number, since 8 + 90 + 72 + 2 + 0 + 454 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 19861122 + ... + 19905918.

Almost surely, 2^890722045440 is an apocalyptic number.

890722045440 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 890722045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544232216384).

890722045440 is an abundant number, since it is smaller than the sum of its proper divisors (2197742387328).

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

890722045440 is a wasteful number, since it uses less digits than its factorization.

890722045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45689 (or 45670 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 890722045440 in words is "eight hundred ninety billion, seven hundred twenty-two million, forty-five thousand, four hundred forty".