981428797440 has 2176 divisors, whose sum is σ = 4566052270080. Its totient is φ = 194330492928.

The previous prime is 981428797289. The next prime is 981428797441. The reversal of 981428797440 is 44797824189.

981428797440 is a `hidden beast` number, since 9 + 81 + 4 + 28 + 7 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981428797441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18517524454 + ... + 18517524506.

Almost surely, 2^981428797440 is an apocalyptic number.

981428797440 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 981428797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283026135040).

981428797440 is an abundant number, since it is smaller than the sum of its proper divisors (3584623472640).

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

981428797440 is a wasteful number, since it uses less digits than its factorization.

981428797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 981428797440 in words is "nine hundred eighty-one billion, four hundred twenty-eight million, seven hundred ninety-seven thousand, four hundred forty".