84402240000 has 400 divisors, whose sum is σ = 302634400992. Its totient is φ = 20772864000.

The previous prime is 84402239989. The next prime is 84402240011. The reversal of 84402240000 is 4220448.

It is an interprime number because it is at equal distance from previous prime (84402239989) and next prime (84402240011).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12476619 + ... + 12483381.

Almost surely, 2^84402240000 is an apocalyptic number.

84402240000 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 84402240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151317200496).

84402240000 is an abundant number, since it is smaller than the sum of its proper divisors (218232160992).

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

84402240000 is an equidigital number, since it uses as much as digits as its factorization.

84402240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6786 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 84402240000 its reverse (4220448), we get a palindrome (84406460448).

The spelling of 84402240000 in words is "eighty-four billion, four hundred two million, two hundred forty thousand".