41442416400 has 720 divisors, whose sum is σ = 178424026560. Its totient is φ = 8102707200.

The previous prime is 41442416387. The next prime is 41442416401. The reversal of 41442416400 is 461424414.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41442416401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10993716 + ... + 10997484.

It is an arithmetic number, because the mean of its divisors is an integer number (247811148).

Almost surely, 2^41442416400 is an apocalyptic number.

41442416400 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 41442416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89212013280).

41442416400 is an abundant number, since it is smaller than the sum of its proper divisors (136981610160).

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

41442416400 is a wasteful number, since it uses less digits than its factorization.

41442416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The spelling of 41442416400 in words is "forty-one billion, four hundred forty-two million, four hundred sixteen thousand, four hundred".