30134341440 has 1344 divisors, whose sum is σ = 135097113600. Its totient is φ = 6279856128.

The previous prime is 30134341427. The next prime is 30134341453. The reversal of 30134341440 is 4414343103.

30134341440 is a `hidden beast` number, since 301 + 343 + 4 + 14 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30134341427) and next prime (30134341453).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381447321 + ... + 381447399.

Almost surely, 2^30134341440 is an apocalyptic number.

30134341440 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 30134341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67548556800).

30134341440 is an abundant number, since it is smaller than the sum of its proper divisors (104962772160).

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

30134341440 is a wasteful number, since it uses less digits than its factorization.

30134341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30134341440 its reverse (4414343103), we get a palindrome (34548684543).

The spelling of 30134341440 in words is "thirty billion, one hundred thirty-four million, three hundred forty-one thousand, four hundred forty".