30414000002000 has 160 divisors (see below), whose sum is σ = 73797245986464. Its totient is φ = 12123271680000.

The previous prime is 30414000001993. The next prime is 30414000002041. The reversal of 30414000002000 is 20000041403.

It can be written as a sum of positive squares in 16 ways, for example, as 23258203800976 + 7155796201024 = 4822676^2 + 2675032^2 .

It is a super-2 number, since 2×30414000002000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970530332 + ... + 970561668.

Almost surely, 2^{30414000002000} 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 30414000002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36898622993232).

30414000002000 is an abundant number, since it is smaller than the sum of its proper divisors (43383245984464).

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

30414000002000 is a wasteful number, since it uses less digits than its factorization.

30414000002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33034 (or 33018 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 30414000002000 its reverse (20000041403), we get a palindrome (30434000043403).

The spelling of 30414000002000 in words is "thirty trillion, four hundred fourteen billion, two thousand".