83241829440 has 896 divisors, whose sum is σ = 368475402240. Its totient is φ = 17185996800.

The previous prime is 83241829439. The next prime is 83241829453. The reversal of 83241829440 is 4492814238.

83241829440 is a `hidden beast` number, since 8 + 3 + 24 + 182 + 9 + 440 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 140373784 + ... + 140374376.

Almost surely, 2^83241829440 is an apocalyptic number.

83241829440 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 83241829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184237701120).

83241829440 is an abundant number, since it is smaller than the sum of its proper divisors (285233572800).

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

83241829440 is a wasteful number, since it uses less digits than its factorization.

83241829440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 83241829440 in words is "eighty-three billion, two hundred forty-one million, eight hundred twenty-nine thousand, four hundred forty".