44412040104040 has 128 divisors (see below), whose sum is σ = 118182610656000. Its totient is φ = 14696664127488.

The previous prime is 44412040103863. The next prime is 44412040104143. The reversal of 44412040104040 is 4040104021444.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21784716 + ... + 23736004.

It is an arithmetic number, because the mean of its divisors is an integer number (923301645750).

Almost surely, 2^{44412040104040} is an apocalyptic number.

44412040104040 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 44412040104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59091305328000).

44412040104040 is an abundant number, since it is smaller than the sum of its proper divisors (73770570551960).

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

44412040104040 is a wasteful number, since it uses less digits than its factorization.

44412040104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954139 (or 1954135 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 44412040104040 its reverse (4040104021444), we get a palindrome (48452144125484).

The spelling of 44412040104040 in words is "forty-four trillion, four hundred twelve billion, forty million, one hundred four thousand, forty".