982416193920 has 768 divisors, whose sum is σ = 4187126520000. Its totient is φ = 216803672064.

The previous prime is 982416193919. The next prime is 982416193931. The reversal of 982416193920 is 29391614289.

982416193920 is a `hidden beast` number, since 9 + 8 + 241 + 6 + 1 + 9 + 392 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 24534876 + ... + 24574884.

Almost surely, 2^982416193920 is an apocalyptic number.

982416193920 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 982416193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093563260000).

982416193920 is an abundant number, since it is smaller than the sum of its proper divisors (3204710326080).

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

982416193920 is a wasteful number, since it uses less digits than its factorization.

982416193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40080 (or 40055 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 982416193920 in words is "nine hundred eighty-two billion, four hundred sixteen million, one hundred ninety-three thousand, nine hundred twenty".