84049345440 has 288 divisors, whose sum is σ = 313098851520. Its totient is φ = 21233332224.

The previous prime is 84049345433. The next prime is 84049345451. The reversal of 84049345440 is 4454394048.

84049345440 is a `hidden beast` number, since 84 + 0 + 4 + 93 + 45 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 681832 + ... + 795608.

It is an arithmetic number, because the mean of its divisors is an integer number (1087148790).

Almost surely, 2^84049345440 is an apocalyptic number.

84049345440 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 84049345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156549425760).

84049345440 is an abundant number, since it is smaller than the sum of its proper divisors (229049506080).

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

84049345440 is a wasteful number, since it uses less digits than its factorization.

84049345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113826 (or 113806 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 84049345440 in words is "eighty-four billion, forty-nine million, three hundred forty-five thousand, four hundred forty".