30420016000 has 256 divisors, whose sum is σ = 82923160320. Its totient is φ = 11006208000.

The previous prime is 30420015991. The next prime is 30420016013. The reversal of 30420016000 is 61002403.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 54031719 + ... + 54032281.

It is an arithmetic number, because the mean of its divisors is an integer number (323918595).

Almost surely, 2^30420016000 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 30420016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41461580160).

30420016000 is an abundant number, since it is smaller than the sum of its proper divisors (52503144320).

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

30420016000 is a wasteful number, since it uses less digits than its factorization.

30420016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 30420016000 its reverse (61002403), we get a palindrome (30481018403).

The spelling of 30420016000 in words is "thirty billion, four hundred twenty million, sixteen thousand".