30315010042400 has 144 divisors (see below), whose sum is σ = 74774740360320. Its totient is φ = 12000635212800.

The previous prime is 30315010042391. The next prime is 30315010042439. The reversal of 30315010042400 is 424001051303.

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, 38067506 + ... + 38855694.

It is an arithmetic number, because the mean of its divisors is an integer number (519269030280).

Almost surely, 2^{30315010042400} 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 30315010042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37387370180160).

30315010042400 is an abundant number, since it is smaller than the sum of its proper divisors (44459730317920).

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

30315010042400 is a wasteful number, since it uses less digits than its factorization.

30315010042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788707 (or 788694 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 30315010042400 its reverse (424001051303), we get a palindrome (30739011093703).

The spelling of 30315010042400 in words is "thirty trillion, three hundred fifteen billion, ten million, forty-two thousand, four hundred".