84201244001280 has 4224 divisors, whose sum is σ = 381911089190400. Its totient is φ = 17698046607360.

The previous prime is 84201244001279. The next prime is 84201244001291. The reversal of 84201244001280 is 8210044210248.

It is a happy number.

84201244001280 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 124 + 400 + 128 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 427417482142 + ... + 427417482338.

It is an arithmetic number, because the mean of its divisors is an integer number (90414557100).

Almost surely, 2^{84201244001280} is an apocalyptic number.

84201244001280 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 84201244001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190955544595200).

84201244001280 is an abundant number, since it is smaller than the sum of its proper divisors (297709845189120).

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

84201244001280 is a wasteful number, since it uses less digits than its factorization.

84201244001280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The spelling of 84201244001280 in words is "eighty-four trillion, two hundred one billion, two hundred forty-four million, one thousand, two hundred eighty".