985808435040 has 768 divisors, whose sum is σ = 4093152860160. Its totient is φ = 218444636160.

The previous prime is 985808435033. The next prime is 985808435081. The reversal of 985808435040 is 40534808589.

985808435040 is a `hidden beast` number, since 9 + 8 + 58 + 0 + 84 + 3 + 504 + 0 = 666.

985808435040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63621534 + ... + 63637026.

It is an arithmetic number, because the mean of its divisors is an integer number (5329626120).

Almost surely, 2^985808435040 is an apocalyptic number.

985808435040 is a gapful number since it is divisible by the number (90) 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 985808435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046576430080).

985808435040 is an abundant number, since it is smaller than the sum of its proper divisors (3107344425120).

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

985808435040 is a wasteful number, since it uses less digits than its factorization.

985808435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15644 (or 15630 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 985808435040 in words is "nine hundred eighty-five billion, eight hundred eight million, four hundred thirty-five thousand, forty".