30213130440240 has 640 divisors, whose sum is σ = 113928789519360. Its totient is φ = 7298590924800.

The previous prime is 30213130440193. The next prime is 30213130440257. The reversal of 30213130440240 is 4204403131203.

30213130440240 is a `hidden beast` number, since 3 + 0 + 213 + 1 + 3 + 0 + 4 + 402 + 40 = 666.

It is a super-2 number, since 2×30213130440240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17235099204 + ... + 17235100956.

It is an arithmetic number, because the mean of its divisors is an integer number (178013733624).

Almost surely, 2^{30213130440240} is an apocalyptic number.

30213130440240 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 30213130440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56964394759680).

30213130440240 is an abundant number, since it is smaller than the sum of its proper divisors (83715659079120).

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

30213130440240 is a wasteful number, since it uses less digits than its factorization.

30213130440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30213130440240 its reverse (4204403131203), we get a palindrome (34417533571443).

The spelling of 30213130440240 in words is "thirty trillion, two hundred thirteen billion, one hundred thirty million, four hundred forty thousand, two hundred forty".