30075496440 has 256 divisors, whose sum is σ = 102948019200. Its totient is φ = 6957772800.

The previous prime is 30075496387. The next prime is 30075496447. The reversal of 30075496440 is 4469457003.

It is a super-2 number, since 2×30075496440² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30075496392 and 30075496401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30075496447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17273970 + ... + 17275710.

It is an arithmetic number, because the mean of its divisors is an integer number (402140700).

Almost surely, 2^30075496440 is an apocalyptic number.

30075496440 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 30075496440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51474009600).

30075496440 is an abundant number, since it is smaller than the sum of its proper divisors (72872522760).

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

30075496440 is a wasteful number, since it uses less digits than its factorization.

30075496440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 30075496440 in words is "thirty billion, seventy-five million, four hundred ninety-six thousand, four hundred forty".