30905135040 has 896 divisors, whose sum is σ = 119552606208. Its totient is φ = 6688604160.

The previous prime is 30905134979. The next prime is 30905135059. The reversal of 30905135040 is 4053150903.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30905134989 and 30905135007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 243347457 + ... + 243347583.

It is an arithmetic number, because the mean of its divisors is an integer number (133429248).

Almost surely, 2^30905135040 is an apocalyptic number.

30905135040 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 30905135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59776303104).

30905135040 is an abundant number, since it is smaller than the sum of its proper divisors (88647471168).

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

30905135040 is a wasteful number, since it uses less digits than its factorization.

30905135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 30905135040 its reverse (4053150903), we get a palindrome (34958285943).

The spelling of 30905135040 in words is "thirty billion, nine hundred five million, one hundred thirty-five thousand, forty".