104261005440 has 768 divisors, whose sum is σ = 407398118400. Its totient is φ = 25086689280.

The previous prime is 104261005421. The next prime is 104261005463. The reversal of 104261005440 is 44500162401.

104261005440 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 610 + 0 + 5 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 974401867 + ... + 974401973.

It is an arithmetic number, because the mean of its divisors is an integer number (530466300).

Almost surely, 2^104261005440 is an apocalyptic number.

104261005440 is a gapful number since it is divisible by the number (10) 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 104261005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203699059200).

104261005440 is an abundant number, since it is smaller than the sum of its proper divisors (303137112960).

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

104261005440 is a wasteful number, since it uses less digits than its factorization.

104261005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 104261005440 its reverse (44500162401), we get a palindrome (148761167841).

The spelling of 104261005440 in words is "one hundred four billion, two hundred sixty-one million, five thousand, four hundred forty".