30222042400 has 288 divisors, whose sum is σ = 85652017920. Its totient is φ = 10291200000.

The previous prime is 30222042391. The next prime is 30222042493. The reversal of 30222042400 is 424022203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40242025 + ... + 40242775.

It is an arithmetic number, because the mean of its divisors is an integer number (297402840).

Almost surely, 2^30222042400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30222042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42826008960).

30222042400 is an abundant number, since it is smaller than the sum of its proper divisors (55429975520).

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

30222042400 is a wasteful number, since it uses less digits than its factorization.

30222042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

Adding to 30222042400 its reverse (424022203), we get a palindrome (30646064603).

The spelling of 30222042400 in words is "thirty billion, two hundred twenty-two million, forty-two thousand, four hundred".