30909704509440 has 2112 divisors, whose sum is σ = 122844317057280. Its totient is φ = 7430083706880.

The previous prime is 30909704509433. The next prime is 30909704509477. The reversal of 30909704509440 is 4490540790903.

30909704509440 is a `hidden beast` number, since 3 + 0 + 9 + 0 + 97 + 0 + 4 + 509 + 4 + 40 = 666.

It is a super-2 number, since 2×30909704509440² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 175 ways as a sum of consecutive naturals, for example, 318656747472 + ... + 318656747568.

Almost surely, 2^{30909704509440} is an apocalyptic number.

30909704509440 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 30909704509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61422158528640).

30909704509440 is an abundant number, since it is smaller than the sum of its proper divisors (91934612547840).

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

30909704509440 is an frugal number, since it uses more digits than its factorization.

30909704509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 30909704509440 in words is "thirty trillion, nine hundred nine billion, seven hundred four million, five hundred nine thousand, four hundred forty".