981100823040 has 1600 divisors, whose sum is σ = 4072599336960. Its totient is φ = 223590481920.

The previous prime is 981100823039. The next prime is 981100823041. The reversal of 981100823040 is 40328001189.

It is an interprime number because it is at equal distance from previous prime (981100823039) and next prime (981100823041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 981100822986 and 981100823004.

It is not an unprimeable number, because it can be changed into a prime (981100823041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3620298105 + ... + 3620298375.

Almost surely, 2^981100823040 is an apocalyptic number.

981100823040 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 981100823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2036299668480).

981100823040 is an abundant number, since it is smaller than the sum of its proper divisors (3091498513920).

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

981100823040 is a wasteful number, since it uses less digits than its factorization.

981100823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 981100823040 in words is "nine hundred eighty-one billion, one hundred million, eight hundred twenty-three thousand, forty".