41001242400 has 216 divisors, whose sum is σ = 145006125264. Its totient is φ = 10901491200.

The previous prime is 41001242393. The next prime is 41001242417. The reversal of 41001242400 is 424210014.

41001242400 is a `hidden beast` number, since 410 + 0 + 12 + 4 + 240 + 0 = 666.

41001242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41001242400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2490195 + ... + 2506605.

It is an arithmetic number, because the mean of its divisors is an integer number (671324654).

Almost surely, 2^41001242400 is an apocalyptic number.

41001242400 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 41001242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72503062632).

41001242400 is an abundant number, since it is smaller than the sum of its proper divisors (104004882864).

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

41001242400 is a wasteful number, since it uses less digits than its factorization.

41001242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16784 (or 16768 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 41001242400 its reverse (424210014), we get a palindrome (41425452414).

The spelling of 41001242400 in words is "forty-one billion, one million, two hundred forty-two thousand, four hundred".