83426365440 has 624 divisors, whose sum is σ = 329364696960. Its totient is φ = 19334430720.

The previous prime is 83426365427. The next prime is 83426365453. The reversal of 83426365440 is 4456362438.

83426365440 is a `hidden beast` number, since 8 + 3 + 4 + 2 + 636 + 5 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83426365427) and next prime (83426365453).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 46632066 + ... + 46633854.

It is an arithmetic number, because the mean of its divisors is an integer number (527828040).

Almost surely, 2^83426365440 is an apocalyptic number.

83426365440 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 83426365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164682348480).

83426365440 is an abundant number, since it is smaller than the sum of its proper divisors (245938331520).

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

83426365440 is a wasteful number, since it uses less digits than its factorization.

83426365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 83426365440 in words is "eighty-three billion, four hundred twenty-six million, three hundred sixty-five thousand, four hundred forty".