30004022177640 has 384 divisors, whose sum is σ = 112723464672000. Its totient is φ = 6779732520960.

The previous prime is 30004022177621. The next prime is 30004022177707. The reversal of 30004022177640 is 4677122040003.

30004022177640 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 4 + 0 + 2 + 2 + 1 + 7 + 7 + 640 = 666.

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 = 30004022177595 and 30004022177604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79036924 + ... + 79415636.

It is an arithmetic number, because the mean of its divisors is an integer number (293550689250).

Almost surely, 2^{30004022177640} is an apocalyptic number.

30004022177640 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 30004022177640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56361732336000).

30004022177640 is an abundant number, since it is smaller than the sum of its proper divisors (82719442494360).

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

30004022177640 is a wasteful number, since it uses less digits than its factorization.

30004022177640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379097 (or 379090 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 30004022177640 in words is "thirty trillion, four billion, twenty-two million, one hundred seventy-seven thousand, six hundred forty".