84815009440 has 384 divisors, whose sum is σ = 241842585600. Its totient is φ = 28079944704.

The previous prime is 84815009429. The next prime is 84815009449. The reversal of 84815009440 is 4490051848.

It is a super-2 number, since 2×84815009440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (84815009449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299699539 + ... + 299699821.

It is an arithmetic number, because the mean of its divisors is an integer number (629798400).

Almost surely, 2^84815009440 is an apocalyptic number.

84815009440 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 84815009440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120921292800).

84815009440 is an abundant number, since it is smaller than the sum of its proper divisors (157027576160).

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

84815009440 is a wasteful number, since it uses less digits than its factorization.

84815009440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 84815009440 in words is "eighty-four billion, eight hundred fifteen million, nine thousand, four hundred forty".