890441828640 has 432 divisors, whose sum is σ = 3760411531968. Its totient is φ = 187873081344.

The previous prime is 890441828609. The next prime is 890441828641. The reversal of 890441828640 is 46828144098.

It is a happy number.

890441828640 is a `hidden beast` number, since 8 + 9 + 0 + 441 + 82 + 86 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (890441828641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1442167 + ... + 1964873.

It is an arithmetic number, because the mean of its divisors is an integer number (8704656324).

Almost surely, 2^890441828640 is an apocalyptic number.

890441828640 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 890441828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880205765984).

890441828640 is an abundant number, since it is smaller than the sum of its proper divisors (2869969703328).

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

890441828640 is a wasteful number, since it uses less digits than its factorization.

890441828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522761 (or 522737 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 890441828640 in words is "eight hundred ninety billion, four hundred forty-one million, eight hundred twenty-eight thousand, six hundred forty".