30555040400 has 60 divisors (see below), whose sum is σ = 73713316644. Its totient is φ = 12171264000.

The previous prime is 30555040387. The next prime is 30555040403. The reversal of 30555040400 is 404055503.

It can be written as a sum of positive squares in 6 ways, for example, as 455566336 + 30099474064 = 21344^2 + 173492^2 .

It is a super-2 number, since 2×30555040400² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30555040400.

It is not an unprimeable number, because it can be changed into a prime (30555040403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 62081 + ... + 254880.

Almost surely, 2^30555040400 is an apocalyptic number.

It is an amenable number.

30555040400 is an abundant number, since it is smaller than the sum of its proper divisors (43158276244).

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

30555040400 is a wasteful number, since it uses less digits than its factorization.

30555040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317220 (or 317209 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

Adding to 30555040400 its reverse (404055503), we get a palindrome (30959095903).

The spelling of 30555040400 in words is "thirty billion, five hundred fifty-five million, forty thousand, four hundred".