44122391040 has 960 divisors, whose sum is σ = 183385762560. Its totient is φ = 8959426560.

The previous prime is 44122391009. The next prime is 44122391063. The reversal of 44122391040 is 4019322144.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 44122390989 and 44122391007.

It is a congruent number.

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, 141872485 + ... + 141872795.

It is an arithmetic number, because the mean of its divisors is an integer number (191026836).

Almost surely, 2^44122391040 is an apocalyptic number.

44122391040 is a gapful number since it is divisible by the number (40) 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 44122391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91692881280).

44122391040 is an abundant number, since it is smaller than the sum of its proper divisors (139263371520).

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

44122391040 is a wasteful number, since it uses less digits than its factorization.

44122391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 44122391040 in words is "forty-four billion, one hundred twenty-two million, three hundred ninety-one thousand, forty".