30142344400 has 120 divisors (see below), whose sum is σ = 82913603904. Its totient is φ = 10315622400.

The previous prime is 30142344391. The next prime is 30142344431. The reversal of 30142344400 is 444324103.

It is a super-2 number, since 2×30142344400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566840 + ... + 1585960.

Almost surely, 2^30142344400 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 30142344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456801952).

30142344400 is an abundant number, since it is smaller than the sum of its proper divisors (52771259504).

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

30142344400 is a wasteful number, since it uses less digits than its factorization.

30142344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19709 (or 19698 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 30142344400 its reverse (444324103), we get a palindrome (30586668503).

The spelling of 30142344400 in words is "thirty billion, one hundred forty-two million, three hundred forty-four thousand, four hundred".