898121226263040 has 480 divisors, whose sum is σ = 3351630871645056. Its totient is φ = 220949319352320.

The previous prime is 898121226262963. The next prime is 898121226263071. The reversal of 898121226263040 is 40362622121898.

898121226263040 is a `hidden beast` number, since 8 + 9 + 8 + 1 + 2 + 1 + 2 + 2 + 626 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×898121226263040³ (a number of 46 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 522403245 + ... + 524119635.

Almost surely, 2^{898121226263040} is an apocalyptic number.

898121226263040 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 898121226263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675815435822528).

898121226263040 is an abundant number, since it is smaller than the sum of its proper divisors (2453509645382016).

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

898121226263040 is a wasteful number, since it uses less digits than its factorization.

898121226263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718180 (or 1718161 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 898121226263040 in words is "eight hundred ninety-eight trillion, one hundred twenty-one billion, two hundred twenty-six million, two hundred sixty-three thousand, forty".