42556320400 has 240 divisors, whose sum is σ = 117881026560. Its totient is φ = 14612083200.

The previous prime is 42556320383. The next prime is 42556320413. The reversal of 42556320400 is 402365524.

It is a super-2 number, since 2×42556320400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7992139 + ... + 7997461.

It is an arithmetic number, because the mean of its divisors is an integer number (491170944).

Almost surely, 2^42556320400 is an apocalyptic number.

42556320400 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 42556320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58940513280).

42556320400 is an abundant number, since it is smaller than the sum of its proper divisors (75324706160).

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

42556320400 is a wasteful number, since it uses less digits than its factorization.

42556320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 42556320400 its reverse (402365524), we get a palindrome (42958685924).

The spelling of 42556320400 in words is "forty-two billion, five hundred fifty-six million, three hundred twenty thousand, four hundred".