30015542400000 has 528 divisors, whose sum is σ = 102436837997760. Its totient is φ = 7808819200000.

The previous prime is 30015542399933. The next prime is 30015542400017. The reversal of 30015542400000 is 424551003.

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, 393561871 + ... + 393638129.

Almost surely, 2^{30015542400000} is an apocalyptic number.

30015542400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30015542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51218418998880).

30015542400000 is an abundant number, since it is smaller than the sum of its proper divisors (72421295597760).

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

30015542400000 is an frugal number, since it uses more digits than its factorization.

30015542400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76348 (or 76310 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 30015542400000 its reverse (424551003), we get a palindrome (30015966951003).

The spelling of 30015542400000 in words is "thirty trillion, fifteen billion, five hundred forty-two million, four hundred thousand".