30490705440 has 288 divisors, whose sum is σ = 115084425456. Its totient is φ = 7302389760.

The previous prime is 30490705429. The next prime is 30490705447. The reversal of 30490705440 is 4450709403.

30490705440 is a `hidden beast` number, since 3 + 0 + 49 + 0 + 70 + 544 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12694078224 + 17796627216 = 112668^2 + 133404^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30490705395 and 30490705404.

It is not an unprimeable number, because it can be changed into a prime (30490705447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670630 + ... + 714650.

Almost surely, 2^30490705440 is an apocalyptic number.

30490705440 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 30490705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57542212728).

30490705440 is an abundant number, since it is smaller than the sum of its proper divisors (84593720016).

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

30490705440 is a wasteful number, since it uses less digits than its factorization.

30490705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44092 (or 44081 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30490705440 in words is "thirty billion, four hundred ninety million, seven hundred five thousand, four hundred forty".