44313042414240 has 192 divisors, whose sum is σ = 156964271990400. Its totient is φ = 11674439995392.

The previous prime is 44313042414233. The next prime is 44313042414247. The reversal of 44313042414240 is 4241424031344.

44313042414240 is a `hidden beast` number, since 4 + 4 + 31 + 304 + 241 + 42 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (44313042414233) and next prime (44313042414247).

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 = 44313042414195 and 44313042414204.

It is not an unprimeable number, because it can be changed into a prime (44313042414247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61434505 + ... + 62151624.

It is an arithmetic number, because the mean of its divisors is an integer number (817522249950).

Almost surely, 2^{44313042414240} is an apocalyptic number.

44313042414240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44313042414240 is an abundant number, since it is smaller than the sum of its proper divisors (112651229576160).

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

44313042414240 is a wasteful number, since it uses less digits than its factorization.

44313042414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123586236 (or 123586222 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 44313042414240 its reverse (4241424031344), we get a palindrome (48554466445584).

The spelling of 44313042414240 in words is "forty-four trillion, three hundred thirteen billion, forty-two million, four hundred fourteen thousand, two hundred forty".