30442225404500 has 768 divisors, whose sum is σ = 86771106938880. Its totient is φ = 9070693632000.

The previous prime is 30442225404473. The next prime is 30442225404517. The reversal of 30442225404500 is 540452224403.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20527460759 + ... + 20527462241.

It is an arithmetic number, because the mean of its divisors is an integer number (112983212160).

Almost surely, 2^{30442225404500} 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 30442225404500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43385553469440).

30442225404500 is an abundant number, since it is smaller than the sum of its proper divisors (56328881534380).

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

30442225404500 is a wasteful number, since it uses less digits than its factorization.

30442225404500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 30442225404500 its reverse (540452224403), we get a palindrome (30982677628903).

The spelling of 30442225404500 in words is "thirty trillion, four hundred forty-two billion, two hundred twenty-five million, four hundred four thousand, five hundred".