982138837400640 has 896 divisors, whose sum is σ = 3662392684953600. Its totient is φ = 247485948272640.

The previous prime is 982138837400629. The next prime is 982138837400663. The reversal of 982138837400640 is 46004738831289.

982138837400640 is a `hidden beast` number, since 9 + 8 + 2 + 138 + 8 + 37 + 400 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1520394841 + ... + 1521040679.

Almost surely, 2^{982138837400640} is an apocalyptic number.

982138837400640 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 982138837400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831196342476800).

982138837400640 is an abundant number, since it is smaller than the sum of its proper divisors (2680253847552960).

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

982138837400640 is a wasteful number, since it uses less digits than its factorization.

982138837400640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646040 (or 646024 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 982138837400640 in words is "nine hundred eighty-two trillion, one hundred thirty-eight billion, eight hundred thirty-seven million, four hundred thousand, six hundred forty".