41001418752 has 352 divisors, whose sum is σ = 134217696000. Its totient is φ = 11098128384.

The previous prime is 41001418721. The next prime is 41001418753. The reversal of 41001418752 is 25781410014.

It is a super-2 number, since 2×41001418752² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001418753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2157969399 + ... + 2157969417.

Almost surely, 2^41001418752 is an apocalyptic number.

41001418752 is a gapful number since it is divisible by the number (42) 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 41001418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108848000).

41001418752 is an abundant number, since it is smaller than the sum of its proper divisors (93216277248).

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

41001418752 is an frugal number, since it uses more digits than its factorization.

41001418752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

Adding to 41001418752 its reverse (25781410014), we get a palindrome (66782828766).

The spelling of 41001418752 in words is "forty-one billion, one million, four hundred eighteen thousand, seven hundred fifty-two".