981541440 has 168 divisors, whose sum is σ = 3683130048. Its totient is φ = 237941760.

The previous prime is 981541433. The next prime is 981541447. The reversal of 981541440 is 44145189.

It is an interprime number because it is at equal distance from previous prime (981541433) and next prime (981541447).

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 = 981541395 and 981541404.

It is not an unprimeable number, because it can be changed into a prime (981541447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16189 + ... + 47171.

Almost surely, 2^981541440 is an apocalyptic number.

981541440 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 981541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841565024).

981541440 is an abundant number, since it is smaller than the sum of its proper divisors (2701588608).

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

981541440 is a wasteful number, since it uses less digits than its factorization.

981541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31017 (or 31004 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 981541440 is about 31329.5617588245. The cubic root of 981541440 is about 993.8088959991.

The spelling of 981541440 in words is "nine hundred eighty-one million, five hundred forty-one thousand, four hundred forty".