30514040000000 has 320 divisors, whose sum is σ = 76425097320000. Its totient is φ = 12171264000000.

The previous prime is 30514039999931. The next prime is 30514040000051. The reversal of 30514040000000 is 4041503.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×30514040000000² (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, 17959999151 + ... + 17960000849.

It is an arithmetic number, because the mean of its divisors is an integer number (238828429125).

Almost surely, 2^{30514040000000} 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 30514040000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38212548660000).

30514040000000 is an abundant number, since it is smaller than the sum of its proper divisors (45911057320000).

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

30514040000000 is an frugal number, since it uses more digits than its factorization.

30514040000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

Adding to 30514040000000 its reverse (4041503), we get a palindrome (30514044041503).

The spelling of 30514040000000 in words is "thirty trillion, five hundred fourteen billion, forty million", and thus it is an aban number.