30241379082240 has 672 divisors, whose sum is σ = 110204855613216. Its totient is φ = 7953705861120.

The previous prime is 30241379082227. The next prime is 30241379082247. The reversal of 30241379082240 is 4228097314203.

30241379082240 is a `hidden beast` number, since 3 + 0 + 2 + 413 + 7 + 9 + 0 + 8 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30241379082247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726568630 + ... + 726610250.

It is an arithmetic number, because the mean of its divisors is an integer number (163995320853).

Almost surely, 2^{30241379082240} is an apocalyptic number.

30241379082240 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 30241379082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55102427806608).

30241379082240 is an abundant number, since it is smaller than the sum of its proper divisors (79963476530976).

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

30241379082240 is an frugal number, since it uses more digits than its factorization.

30241379082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41740 (or 41704 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 30241379082240 in words is "thirty trillion, two hundred forty-one billion, three hundred seventy-nine million, eighty-two thousand, two hundred forty".