41123462400 has 432 divisors, whose sum is σ = 159677280000. Its totient is φ = 10320445440.

The previous prime is 41123462389. The next prime is 41123462477. The reversal of 41123462400 is 426432114.

It is a happy number.

41123462400 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 34 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×41123462400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2930601 + ... + 2944599.

Almost surely, 2^41123462400 is an apocalyptic number.

41123462400 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 41123462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79838640000).

41123462400 is an abundant number, since it is smaller than the sum of its proper divisors (118553817600).

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

41123462400 is a wasteful number, since it uses less digits than its factorization.

41123462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14051 (or 14026 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41123462400 its reverse (426432114), we get a palindrome (41549894514).

The spelling of 41123462400 in words is "forty-one billion, one hundred twenty-three million, four hundred sixty-two thousand, four hundred".