30240384348040 has 256 divisors, whose sum is σ = 78072087582720. Its totient is φ = 10477617131520.

The previous prime is 30240384347981. The next prime is 30240384348043. The reversal of 30240384348040 is 4084348304203.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is not an unprimeable number, because it can be changed into a prime (30240384348043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44723275 + ... + 45394405.

It is an arithmetic number, because the mean of its divisors is an integer number (304969092120).

Almost surely, 2^{30240384348040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30240384348040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39036043791360).

30240384348040 is an abundant number, since it is smaller than the sum of its proper divisors (47831703234680).

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

30240384348040 is a wasteful number, since it uses less digits than its factorization.

30240384348040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671292 (or 671288 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 43.

The spelling of 30240384348040 in words is "thirty trillion, two hundred forty billion, three hundred eighty-four million, three hundred forty-eight thousand, forty".