30442241400 has 96 divisors (see below), whose sum is σ = 94515379200. Its totient is φ = 8105507200.

The previous prime is 30442241393. The next prime is 30442241437. The reversal of 30442241400 is 414224403.

It is a happy number.

It is a super-2 number, since 2×30442241400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356905 + ... + 433895.

It is an arithmetic number, because the mean of its divisors is an integer number (984535200).

Almost surely, 2^30442241400 is an apocalyptic number.

30442241400 is a gapful number since it is divisible by the number (30) 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 30442241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47257689600).

30442241400 is an abundant number, since it is smaller than the sum of its proper divisors (64073137800).

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

30442241400 is a wasteful number, since it uses less digits than its factorization.

30442241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77669 (or 77660 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30442241400 its reverse (414224403), we get a palindrome (30856465803).

The spelling of 30442241400 in words is "thirty billion, four hundred forty-two million, two hundred forty-one thousand, four hundred".