1982459888640 has 880 divisors, whose sum is σ = 8857096896384. Its totient is φ = 411933081600.

The previous prime is 1982459888621. The next prime is 1982459888681. The reversal of 1982459888640 is 468889542891.

1982459888640 is a `hidden beast` number, since 1 + 9 + 8 + 24 + 598 + 8 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31902400 + ... + 31964480.

Almost surely, 2^{1982459888640} is an apocalyptic number.

1982459888640 is a gapful number since it is divisible by the number (10) 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 1982459888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428548448192).

1982459888640 is an abundant number, since it is smaller than the sum of its proper divisors (6874637007744).

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

1982459888640 is a wasteful number, since it uses less digits than its factorization.

1982459888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62136 (or 62109 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 1982459888640 in words is "one trillion, nine hundred eighty-two billion, four hundred fifty-nine million, eight hundred eighty-eight thousand, six hundred forty".