42011314400 has 144 divisors (see below), whose sum is σ = 112229566848. Its totient is φ = 15229632000.

The previous prime is 42011314357. The next prime is 42011314441. The reversal of 42011314400 is 441311024.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2905589 + ... + 2920011.

It is an arithmetic number, because the mean of its divisors is an integer number (779371992).

Almost surely, 2^42011314400 is an apocalyptic number.

42011314400 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 42011314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56114783424).

42011314400 is an abundant number, since it is smaller than the sum of its proper divisors (70218252448).

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

42011314400 is a wasteful number, since it uses less digits than its factorization.

42011314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14785 (or 14772 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 42011314400 its reverse (441311024), we get a palindrome (42452625424).

The spelling of 42011314400 in words is "forty-two billion, eleven million, three hundred fourteen thousand, four hundred".