104411044440 has 768 divisors, whose sum is σ = 379170529920. Its totient is φ = 25798901760.

The previous prime is 104411044433. The next prime is 104411044501. The reversal of 104411044440 is 44440114401.

104411044440 is a `hidden beast` number, since 104 + 4 + 110 + 4 + 4 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1076402472 + ... + 1076402568.

Almost surely, 2^104411044440 is an apocalyptic number.

104411044440 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 104411044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189585264960).

104411044440 is an abundant number, since it is smaller than the sum of its proper divisors (274759485480).

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

104411044440 is a wasteful number, since it uses less digits than its factorization.

104411044440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 104411044440 its reverse (44440114401), we get a palindrome (148851158841).

It can be divided in two parts, 1044110 and 44440, that added together give a triangular number (1088550 = T₁₄₇₅).

The spelling of 104411044440 in words is "one hundred four billion, four hundred eleven million, forty-four thousand, four hundred forty".