84081839063040 has 2400 divisors, whose sum is σ = 392874438426624. Its totient is φ = 16694755983360.

The previous prime is 84081839063003. The next prime is 84081839063041. The reversal of 84081839063040 is 4036093818048.

84081839063040 is a `hidden beast` number, since 8 + 408 + 1 + 83 + 90 + 6 + 30 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (84081839063041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10265145345 + ... + 10265153535.

Almost surely, 2^{84081839063040} is an apocalyptic number.

84081839063040 is a gapful number since it is divisible by the number (80) 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 84081839063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196437219213312).

84081839063040 is an abundant number, since it is smaller than the sum of its proper divisors (308792599363584).

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

84081839063040 is a wasteful number, since it uses less digits than its factorization.

84081839063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8273 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 84081839063040 in words is "eighty-four trillion, eighty-one billion, eight hundred thirty-nine million, sixty-three thousand, forty".