82260541440 has 1800 divisors, whose sum is σ = 390517630272. Its totient is φ = 16349921280.

The previous prime is 82260541423. The next prime is 82260541457. The reversal of 82260541440 is 4414506228.

82260541440 is a `hidden beast` number, since 8 + 2 + 2 + 605 + 4 + 1 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (82260541423) and next prime (82260541457).

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 = 82260541395 and 82260541404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3576545269 + ... + 3576545291.

Almost surely, 2^82260541440 is an apocalyptic number.

82260541440 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 82260541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195258815136).

82260541440 is an abundant number, since it is smaller than the sum of its proper divisors (308257088832).

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

82260541440 is a wasteful number, since it uses less digits than its factorization.

82260541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 82260541440 in words is "eighty-two billion, two hundred sixty million, five hundred forty-one thousand, four hundred forty".