44134013040 has 320 divisors, whose sum is σ = 152923545600. Its totient is φ = 10455920640.

The previous prime is 44134013039. The next prime is 44134013069. The reversal of 44134013040 is 4031043144.

It is a super-2 number, since 2×44134013040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 44134013040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19246134 + ... + 19248426.

It is an arithmetic number, because the mean of its divisors is an integer number (477886080).

Almost surely, 2^44134013040 is an apocalyptic number.

44134013040 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 44134013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76461772800).

44134013040 is an abundant number, since it is smaller than the sum of its proper divisors (108789532560).

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

44134013040 is a wasteful number, since it uses less digits than its factorization.

44134013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 44134013040 its reverse (4031043144), we get a palindrome (48165056184).

The spelling of 44134013040 in words is "forty-four billion, one hundred thirty-four million, thirteen thousand, forty".