305883142840 has 128 divisors (see below), whose sum is σ = 783742417920. Its totient is φ = 106354124800.

The previous prime is 305883142769. The next prime is 305883142889. The reversal of 305883142840 is 48241388503.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42915357 + ... + 42922483.

It is an arithmetic number, because the mean of its divisors is an integer number (6122987640).

Almost surely, 2^305883142840 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 305883142840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391871208960).

305883142840 is an abundant number, since it is smaller than the sum of its proper divisors (477859275080).

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

305883142840 is a wasteful number, since it uses less digits than its factorization.

305883142840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11413 (or 11409 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 46.

The spelling of 305883142840 in words is "three hundred five billion, eight hundred eighty-three million, one hundred forty-two thousand, eight hundred forty".