30442003112400 has 240 divisors, whose sum is σ = 109812609067008. Its totient is φ = 7141818816000.

The previous prime is 30442003112387. The next prime is 30442003112459. The reversal of 30442003112400 is 421130024403.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36787774 + ... + 37606173.

Almost surely, 2^{30442003112400} is an apocalyptic number.

30442003112400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30442003112400 is an abundant number, since it is smaller than the sum of its proper divisors (79370605954608).

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

30442003112400 is a wasteful number, since it uses less digits than its factorization.

30442003112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74394010 (or 74393999 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 30442003112400 its reverse (421130024403), we get a palindrome (30863133136803).

The spelling of 30442003112400 in words is "thirty trillion, four hundred forty-two billion, three million, one hundred twelve thousand, four hundred".