981046055430 has 384 divisors, whose sum is σ = 3087573811200. Its totient is φ = 220996968192.

The previous prime is 981046055377. The next prime is 981046055441. The reversal of 981046055430 is 34550640189.

981046055430 is a `hidden beast` number, since 9 + 8 + 1 + 0 + 4 + 60 + 554 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 263791111 + ... + 263794829.

It is an arithmetic number, because the mean of its divisors is an integer number (8040556800).

Almost surely, 2^981046055430 is an apocalyptic number.

981046055430 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 981046055430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543786905600).

981046055430 is an abundant number, since it is smaller than the sum of its proper divisors (2106527755770).

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

981046055430 is a wasteful number, since it uses less digits than its factorization.

981046055430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 981046055430 in words is "nine hundred eighty-one billion, forty-six million, fifty-five thousand, four hundred thirty".