30414031021000 has 512 divisors, whose sum is σ = 81859347947520. Its totient is φ = 10478178816000.

The previous prime is 30414031020983. The next prime is 30414031021037. The reversal of 30414031021000 is 12013041403.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2512096947 + ... + 2512109053.

It is an arithmetic number, because the mean of its divisors is an integer number (159881538960).

Almost surely, 2^{30414031021000} 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 30414031021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40929673973760).

30414031021000 is an abundant number, since it is smaller than the sum of its proper divisors (51445316926520).

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

30414031021000 is a wasteful number, since it uses less digits than its factorization.

30414031021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12342 (or 12328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 30414031021000 its reverse (12013041403), we get a palindrome (30426044062403).

The spelling of 30414031021000 in words is "thirty trillion, four hundred fourteen billion, thirty-one million, twenty-one thousand".