44110401146064 has 240 divisors, whose sum is σ = 134947001839104. Its totient is φ = 13339349587200.

The previous prime is 44110401146051. The next prime is 44110401146069. The reversal of 44110401146064 is 46064110401144.

44110401146064 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 0 + 40 + 1 + 1 + 4 + 606 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44110401146069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3413318707 + ... + 3413331629.

Almost surely, 2^{44110401146064} is an apocalyptic number.

44110401146064 is a gapful number since it is divisible by the number (44) 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 44110401146064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67473500919552).

44110401146064 is an abundant number, since it is smaller than the sum of its proper divisors (90836600693040).

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

44110401146064 is a wasteful number, since it uses less digits than its factorization.

44110401146064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17206 (or 17197 counting only the distinct ones).

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

The spelling of 44110401146064 in words is "forty-four trillion, one hundred ten billion, four hundred one million, one hundred forty-six thousand, sixty-four".