21034355400 has 240 divisors, whose sum is σ = 75576273300. Its totient is φ = 5415621120.

The previous prime is 21034355399. The next prime is 21034355431. The reversal of 21034355400 is 455343012.

21034355400 is a `hidden beast` number, since 2 + 103 + 4 + 3 + 554 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9690827364 + 11343528036 = 98442^2 + 106506^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 447414 + ... + 492186.

Almost surely, 2^21034355400 is an apocalyptic number.

21034355400 is a gapful number since it is divisible by the number (20) 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 21034355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37788136650).

21034355400 is an abundant number, since it is smaller than the sum of its proper divisors (54541917900).

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

21034355400 is a wasteful number, since it uses less digits than its factorization.

21034355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44830 (or 44812 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 21034355400 its reverse (455343012), we get a palindrome (21489698412).

The spelling of 21034355400 in words is "twenty-one billion, thirty-four million, three hundred fifty-five thousand, four hundred".