41234414311440 has 480 divisors, whose sum is σ = 161238875765760. Its totient is φ = 9248288265216.

The previous prime is 41234414311367. The next prime is 41234414311469. The reversal of 41234414311440 is 4411341443214.

41234414311440 is a `hidden beast` number, since 4 + 1 + 23 + 44 + 143 + 11 + 440 = 666.

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 = 41234414311395 and 41234414311404.

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, 162529167 + ... + 162782673.

It is an arithmetic number, because the mean of its divisors is an integer number (335914324512).

Almost surely, 2^{41234414311440} is an apocalyptic number.

41234414311440 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 41234414311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80619437882880).

41234414311440 is an abundant number, since it is smaller than the sum of its proper divisors (120004461454320).

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

41234414311440 is a wasteful number, since it uses less digits than its factorization.

41234414311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254139 (or 254130 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 41234414311440 its reverse (4411341443214), we get a palindrome (45645755754654).

The spelling of 41234414311440 in words is "forty-one trillion, two hundred thirty-four billion, four hundred fourteen million, three hundred eleven thousand, four hundred forty".