30827954040 has 128 divisors (see below), whose sum is σ = 100529372160. Its totient is φ = 7517458944.

The previous prime is 30827954029. The next prime is 30827954051. The reversal of 30827954040 is 4045972803.

It is an interprime number because it is at equal distance from previous prime (30827954029) and next prime (30827954051).

It is a junction number, because it is equal to n+sod(n) for n = 30827953983 and 30827954001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74577 + ... + 259263.

It is an arithmetic number, because the mean of its divisors is an integer number (785385720).

Almost surely, 2^30827954040 is an apocalyptic number.

30827954040 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 30827954040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50264686080).

30827954040 is an abundant number, since it is smaller than the sum of its proper divisors (69701418120).

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

30827954040 is a wasteful number, since it uses less digits than its factorization.

30827954040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184821 (or 184817 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 30827954040 in words is "thirty billion, eight hundred twenty-seven million, nine hundred fifty-four thousand, forty".