42311300400 has 240 divisors, whose sum is σ = 151361344000. Its totient is φ = 11225744640.

The previous prime is 42311300387. The next prime is 42311300477. The reversal of 42311300400 is 400311324.

42311300400 is a `hidden beast` number, since 4 + 231 + 1 + 30 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×42311300400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2139357 + ... + 2159043.

Almost surely, 2^42311300400 is an apocalyptic number.

42311300400 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 42311300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75680672000).

42311300400 is an abundant number, since it is smaller than the sum of its proper divisors (109050043600).

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

42311300400 is a wasteful number, since it uses less digits than its factorization.

42311300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19913 (or 19896 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42311300400 its reverse (400311324), we get a palindrome (42711611724).

The spelling of 42311300400 in words is "forty-two billion, three hundred eleven million, three hundred thousand, four hundred".