533104442400 has 144 divisors (see below), whose sum is σ = 1735753217184. Its totient is φ = 142120366080.

The previous prime is 533104442389. The next prime is 533104442419. The reversal of 533104442400 is 4244401335.

It is a super-2 number, since 2×533104442400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8842759 + ... + 8902841.

It is an arithmetic number, because the mean of its divisors is an integer number (12053841786).

Almost surely, 2^533104442400 is an apocalyptic number.

533104442400 is a gapful number since it is divisible by the number (50) 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 533104442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867876608592).

533104442400 is an abundant number, since it is smaller than the sum of its proper divisors (1202648774784).

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

533104442400 is a wasteful number, since it uses less digits than its factorization.

533104442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63803 (or 63790 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 533104442400 its reverse (4244401335), we get a palindrome (537348843735).

The spelling of 533104442400 in words is "five hundred thirty-three billion, one hundred four million, four hundred forty-two thousand, four hundred".