30514231434000 has 640 divisors, whose sum is σ = 100179492102144. Its totient is φ = 7989995520000.

The previous prime is 30514231433977. The next prime is 30514231434013. The reversal of 30514231434000 is 43413241503.

It is a super-2 number, since 2×30514231434000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 32565881532 + ... + 32565882468.

Almost surely, 2^{30514231434000} is an apocalyptic number.

30514231434000 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 30514231434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50089746051072).

30514231434000 is an abundant number, since it is smaller than the sum of its proper divisors (69665260668144).

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

30514231434000 is a wasteful number, since it uses less digits than its factorization.

30514231434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 30514231434000 its reverse (43413241503), we get a palindrome (30557644675503).

The spelling of 30514231434000 in words is "thirty trillion, five hundred fourteen billion, two hundred thirty-one million, four hundred thirty-four thousand".