30143234002400 has 144 divisors (see below), whose sum is σ = 74099952299520. Its totient is φ = 11973414796800.

The previous prime is 30143234002367. The next prime is 30143234002463. The reversal of 30143234002400 is 420043234103.

It is a super-2 number, since 2×30143234002400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30143234002400.

It is a congruent number.

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, 137632181 + ... + 137851019.

It is an arithmetic number, because the mean of its divisors is an integer number (514583002080).

Almost surely, 2^{30143234002400} 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 30143234002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37049976149760).

30143234002400 is an abundant number, since it is smaller than the sum of its proper divisors (43956718297120).

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

30143234002400 is a wasteful number, since it uses less digits than its factorization.

30143234002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220057 (or 220044 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 30143234002400 its reverse (420043234103), we get a palindrome (30563277236503).

The spelling of 30143234002400 in words is "thirty trillion, one hundred forty-three billion, two hundred thirty-four million, two thousand, four hundred".