42211244400 has 120 divisors (see below), whose sum is σ = 145618023600. Its totient is φ = 10390456320.

The previous prime is 42211244357. The next prime is 42211244419. The reversal of 42211244400 is 444211224.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337325 + ... + 1368524.

It is an arithmetic number, because the mean of its divisors is an integer number (1213483530).

Almost surely, 2^42211244400 is an apocalyptic number.

42211244400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42211244400 is an abundant number, since it is smaller than the sum of its proper divisors (103406779200).

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

42211244400 is a wasteful number, since it uses less digits than its factorization.

42211244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705883 (or 2705872 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42211244400 its reverse (444211224), we get a palindrome (42655455624).

The spelling of 42211244400 in words is "forty-two billion, two hundred eleven million, two hundred forty-four thousand, four hundred".