30009162791040 has 128 divisors (see below), whose sum is σ = 95655870993600. Its totient is φ = 8002304151552.

The previous prime is 30009162790991. The next prime is 30009162791089. The reversal of 30009162791040 is 4019726190003.

It is an interprime number because it is at equal distance from previous prime (30009162790991) and next prime (30009162791089).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 30009162790983 and 30009162791001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158245719 + ... + 158435241.

Almost surely, 2^{30009162791040} is an apocalyptic number.

30009162791040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30009162791040 is an abundant number, since it is smaller than the sum of its proper divisors (65646708202560).

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

30009162791040 is a wasteful number, since it uses less digits than its factorization.

30009162791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272014 (or 272002 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 30009162791040 in words is "thirty trillion, nine billion, one hundred sixty-two million, seven hundred ninety-one thousand, forty".