44050105214100 has 576 divisors, whose sum is σ = 148487796172800. Its totient is φ = 11192969088000.

The previous prime is 44050105214069. The next prime is 44050105214119. The reversal of 44050105214100 is 141250105044.

44050105214100 is a `hidden beast` number, since 4 + 4 + 0 + 501 + 0 + 52 + 1 + 4 + 100 = 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, 840961711 + ... + 841014089.

It is an arithmetic number, because the mean of its divisors is an integer number (257791312800).

Almost surely, 2^{44050105214100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44050105214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74243898086400).

44050105214100 is an abundant number, since it is smaller than the sum of its proper divisors (104437690958700).

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

44050105214100 is a wasteful number, since it uses less digits than its factorization.

44050105214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52621 (or 52608 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 44050105214100 its reverse (141250105044), we get a palindrome (44191355319144).

The spelling of 44050105214100 in words is "forty-four trillion, fifty billion, one hundred five million, two hundred fourteen thousand, one hundred".