41424052042400 has 72 divisors (see below), whose sum is σ = 101233255032000. Its totient is φ = 16552123554560.

The previous prime is 41424052042369. The next prime is 41424052042447. The reversal of 41424052042400 is 424025042414.

It is a super-2 number, since 2×41424052042400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26581400 + ... + 28096599.

It is an arithmetic number, because the mean of its divisors is an integer number (1406017431000).

Almost surely, 2^{41424052042400} is an apocalyptic number.

41424052042400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41424052042400 is an abundant number, since it is smaller than the sum of its proper divisors (59809202989600).

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

41424052042400 is a wasteful number, since it uses less digits than its factorization.

41424052042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54678966 (or 54678953 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 41424052042400 its reverse (424025042414), we get a palindrome (41848077084814).

The spelling of 41424052042400 in words is "forty-one trillion, four hundred twenty-four billion, fifty-two million, forty-two thousand, four hundred".