30151304040000 has 1120 divisors, whose sum is σ = 124005409266816. Its totient is φ = 6350192640000.

The previous prime is 30151304039999. The next prime is 30151304040001. The reversal of 30151304040000 is 4040315103.

It is an interprime number because it is at equal distance from previous prime (30151304039999) and next prime (30151304040001).

It is a super-2 number, since 2×30151304040000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30151304040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 291668322 + ... + 291771678.

Almost surely, 2^{30151304040000} is an apocalyptic number.

30151304040000 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 30151304040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62002704633408).

30151304040000 is an abundant number, since it is smaller than the sum of its proper divisors (93854105226816).

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

30151304040000 is a wasteful number, since it uses less digits than its factorization.

30151304040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103433 (or 103408 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 30151304040000 its reverse (4040315103), we get a palindrome (30155344355103).

The spelling of 30151304040000 in words is "thirty trillion, one hundred fifty-one billion, three hundred four million, forty thousand".