41451242400 has 144 divisors (see below), whose sum is σ = 149915404800. Its totient is φ = 11053658880.

The previous prime is 41451242377. The next prime is 41451242401. The reversal of 41451242400 is 424215414.

41451242400 is a `hidden beast` number, since 4 + 14 + 5 + 1 + 242 + 400 = 666.

41451242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (41451242401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937920 + ... + 981119.

It is an arithmetic number, because the mean of its divisors is an integer number (1041079200).

Almost surely, 2^41451242400 is an apocalyptic number.

41451242400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41451242400 is an abundant number, since it is smaller than the sum of its proper divisors (108464162400).

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

41451242400 is a wasteful number, since it uses less digits than its factorization.

41451242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1919068 (or 1919049 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 41451242400 its reverse (424215414), we get a palindrome (41875457814).

The spelling of 41451242400 in words is "forty-one billion, four hundred fifty-one million, two hundred forty-two thousand, four hundred".