42311000400 has 120 divisors (see below), whose sum is σ = 137833692960. Its totient is φ = 11091678720.

The previous prime is 42311000371. The next prime is 42311000467. The reversal of 42311000400 is 400011324.

42311000400 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 (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 42311000400.

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, 228007 + ... + 369606.

It is an arithmetic number, because the mean of its divisors is an integer number (1148614108).

Almost surely, 2^42311000400 is an apocalyptic number.

42311000400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42311000400 is an abundant number, since it is smaller than the sum of its proper divisors (95522692560).

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

42311000400 is a wasteful number, since it uses less digits than its factorization.

42311000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597693 (or 597682 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 42311000400 its reverse (400011324), we get a palindrome (42711011724).

The spelling of 42311000400 in words is "forty-two billion, three hundred eleven million, four hundred", and thus it is an aban number.