30860345139840 has 256 divisors, whose sum is σ = 109400133945600. Its totient is φ = 8221664194560.

The previous prime is 30860345139821. The next prime is 30860345139853. The reversal of 30860345139840 is 4893154306803.

30860345139840 is a `hidden beast` number, since 3 + 0 + 8 + 6 + 0 + 34 + 513 + 98 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17492469 + ... + 19175691.

It is an arithmetic number, because the mean of its divisors is an integer number (427344273225).

Almost surely, 2^{30860345139840} is an apocalyptic number.

30860345139840 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 30860345139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54700066972800).

30860345139840 is an abundant number, since it is smaller than the sum of its proper divisors (78539788805760).

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

30860345139840 is a wasteful number, since it uses less digits than its factorization.

30860345139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684312 (or 1684294 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 30860345139840 in words is "thirty trillion, eight hundred sixty billion, three hundred forty-five million, one hundred thirty-nine thousand, eight hundred forty".