30386812067040 has 1152 divisors, whose sum is σ = 119709327790080. Its totient is φ = 6425462292480.

The previous prime is 30386812067039. The next prime is 30386812067041. The reversal of 30386812067040 is 4076021868303.

It is an interprime number because it is at equal distance from previous prime (30386812067039) and next prime (30386812067041).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30386812067041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1029104757 + ... + 1029134283.

It is an arithmetic number, because the mean of its divisors is an integer number (103914347040).

Almost surely, 2^{30386812067040} is an apocalyptic number.

30386812067040 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 30386812067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59854663895040).

30386812067040 is an abundant number, since it is smaller than the sum of its proper divisors (89322515723040).

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

30386812067040 is a wasteful number, since it uses less digits than its factorization.

30386812067040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29656 (or 29637 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 30386812067040 in words is "thirty trillion, three hundred eighty-six billion, eight hundred twelve million, sixty-seven thousand, forty".