44134314314040 has 288 divisors, whose sum is σ = 152390032732080. Its totient is φ = 11075411902464.

The previous prime is 44134314314021. The next prime is 44134314314059. The reversal of 44134314314040 is 4041341343144.

44134314314040 is a `hidden beast` number, since 4 + 4 + 1 + 3 + 431 + 43 + 140 + 40 = 666.

44134314314040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (44134314314021) and next prime (44134314314059).

It is a super-2 number, since 2×44134314314040² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 44134314313986 and 44134314314004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 965780472 + ... + 965826168.

Almost surely, 2^{44134314314040} is an apocalyptic number.

44134314314040 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 44134314314040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76195016366040).

44134314314040 is an abundant number, since it is smaller than the sum of its proper divisors (108255718418040).

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

44134314314040 is a wasteful number, since it uses less digits than its factorization.

44134314314040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55031 (or 55007 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 44134314314040 its reverse (4041341343144), we get a palindrome (48175655657184).

The spelling of 44134314314040 in words is "forty-four trillion, one hundred thirty-four billion, three hundred fourteen million, three hundred fourteen thousand, forty".