30024140400 has 150 divisors (see below), whose sum is σ = 107754346832. Its totient is φ = 8006428800.

The previous prime is 30024140383. The next prime is 30024140431. The reversal of 30024140400 is 404142003.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 430936 + ... + 495735.

Almost surely, 2^30024140400 is an apocalyptic number.

30024140400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30024140400 is an abundant number, since it is smaller than the sum of its proper divisors (77730206432).

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

30024140400 is a wasteful number, since it uses less digits than its factorization.

30024140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926701 (or 926681 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 30024140400 its reverse (404142003), we get a palindrome (30428282403).

The spelling of 30024140400 in words is "thirty billion, twenty-four million, one hundred forty thousand, four hundred".