30526117440 has 896 divisors, whose sum is σ = 128302755840. Its totient is φ = 5969313792.

The previous prime is 30526117429. The next prime is 30526117441. The reversal of 30526117440 is 4471162503.

It is not an unprimeable number, because it can be changed into a prime (30526117441) 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 127 ways as a sum of consecutive naturals, for example, 87971347 + ... + 87971693.

It is an arithmetic number, because the mean of its divisors is an integer number (143195040).

Almost surely, 2^30526117440 is an apocalyptic number.

30526117440 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 30526117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64151377920).

30526117440 is an abundant number, since it is smaller than the sum of its proper divisors (97776638400).

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

30526117440 is a wasteful number, since it uses less digits than its factorization.

30526117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 30526117440 its reverse (4471162503), we get a palindrome (34997279943).

The spelling of 30526117440 in words is "thirty billion, five hundred twenty-six million, one hundred seventeen thousand, four hundred forty".