41001342133440 has 224 divisors, whose sum is σ = 146288401652736. Its totient is φ = 9653827645440.

The previous prime is 41001342133439. The next prime is 41001342133471. The reversal of 41001342133440 is 4433124310014.

It is a super-2 number, since 2×41001342133440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41001342133398 and 41001342133407.

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, 71133916 + ... + 71707995.

It is an arithmetic number, because the mean of its divisors is an integer number (653073221664).

Almost surely, 2^{41001342133440} is an apocalyptic number.

41001342133440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41001342133440 is an abundant number, since it is smaller than the sum of its proper divisors (105287059519296).

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

41001342133440 is a wasteful number, since it uses less digits than its factorization.

41001342133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142841967 (or 142841957 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 41001342133440 its reverse (4433124310014), we get a palindrome (45434466443454).

The spelling of 41001342133440 in words is "forty-one trillion, one billion, three hundred forty-two million, one hundred thirty-three thousand, four hundred forty".