398833481903040 has 672 divisors, whose sum is σ = 1467411604850880. Its totient is φ = 99074572812288.

The previous prime is 398833481903039. The next prime is 398833481903041. The reversal of 398833481903040 is 40309184338893.

398833481903040 is a `hidden beast` number, since 3 + 9 + 8 + 8 + 33 + 481 + 90 + 30 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (398833481903039) and next prime (398833481903041).

It is a super-2 number, since 2×398833481903040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398833481903041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5914481164 + ... + 5914548596.

Almost surely, 2^{398833481903040} is an apocalyptic number.

398833481903040 is a gapful number since it is divisible by the number (30) 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 398833481903040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733705802425440).

398833481903040 is an abundant number, since it is smaller than the sum of its proper divisors (1068578122947840).

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

398833481903040 is a wasteful number, since it uses less digits than its factorization.

398833481903040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68709 (or 68696 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 398833481903040 in words is "three hundred ninety-eight trillion, eight hundred thirty-three billion, four hundred eighty-one million, nine hundred three thousand, forty".