84451529040 has 160 divisors (see below), whose sum is σ = 265055535360. Its totient is φ = 22241329152.

The previous prime is 84451529011. The next prime is 84451529047. The reversal of 84451529040 is 4092515448.

It is a junction number, because it is equal to n+sod(n) for n = 84451528983 and 84451529001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84451529047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11845957 + ... + 11853083.

It is an arithmetic number, because the mean of its divisors is an integer number (1656597096).

Almost surely, 2^84451529040 is an apocalyptic number.

84451529040 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 84451529040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132527767680).

84451529040 is an abundant number, since it is smaller than the sum of its proper divisors (180604006320).

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

84451529040 is a wasteful number, since it uses less digits than its factorization.

84451529040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7749 (or 7743 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 84451529040 in words is "eighty-four billion, four hundred fifty-one million, five hundred twenty-nine thousand, forty".