42400291200 has 192 divisors, whose sum is σ = 141625221120. Its totient is φ = 11147315200.

The previous prime is 42400291151. The next prime is 42400291207. The reversal of 42400291200 is 219200424.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42400291207) 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, 650497 + ... + 712703.

It is an arithmetic number, because the mean of its divisors is an integer number (737631360).

Almost surely, 2^42400291200 is an apocalyptic number.

42400291200 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 42400291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70812610560).

42400291200 is an abundant number, since it is smaller than the sum of its proper divisors (99224929920).

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

42400291200 is a wasteful number, since it uses less digits than its factorization.

42400291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62305 (or 62288 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 42400291200 its reverse (219200424), we get a palindrome (42619491624).

The spelling of 42400291200 in words is "forty-two billion, four hundred million, two hundred ninety-one thousand, two hundred".