83602801440 has 144 divisors (see below), whose sum is σ = 287112499128. Its totient is φ = 22152019968.

The previous prime is 83602801439. The next prime is 83602801463. The reversal of 83602801440 is 4410820638.

83602801440 is a `hidden beast` number, since 8 + 3 + 602 + 8 + 0 + 1 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64469272464 + 19133528976 = 253908^2 + 138324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83602801395 and 83602801404.

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 23 ways as a sum of consecutive naturals, for example, 41184 + ... + 410976.

Almost surely, 2^83602801440 is an apocalyptic number.

83602801440 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 83602801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143556249564).

83602801440 is an abundant number, since it is smaller than the sum of its proper divisors (203509697688).

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

83602801440 is a wasteful number, since it uses less digits than its factorization.

83602801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369971 (or 369960 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 83602801440 in words is "eighty-three billion, six hundred two million, eight hundred one thousand, four hundred forty".