30141231014400 has 960 divisors, whose sum is σ = 114982224952320. Its totient is φ = 6890810572800.

The previous prime is 30141231014353. The next prime is 30141231014407. The reversal of 30141231014400 is 441013214103.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30141231014407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526704189 + ... + 526761411.

It is an arithmetic number, because the mean of its divisors is an integer number (119773150992).

Almost surely, 2^{30141231014400} is an apocalyptic number.

30141231014400 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 30141231014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57491112476160).

30141231014400 is an abundant number, since it is smaller than the sum of its proper divisors (84840993937920).

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

30141231014400 is a wasteful number, since it uses less digits than its factorization.

30141231014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57337 (or 57316 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 30141231014400 its reverse (441013214103), we get a palindrome (30582244228503).

The spelling of 30141231014400 in words is "thirty trillion, one hundred forty-one billion, two hundred thirty-one million, fourteen thousand, four hundred".