30985211400 has 768 divisors, whose sum is σ = 120742272000. Its totient is φ = 6461337600.

The previous prime is 30985211377. The next prime is 30985211437. The reversal of 30985211400 is 411258903.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 135306486 + ... + 135306714.

It is an arithmetic number, because the mean of its divisors is an integer number (157216500).

Almost surely, 2^30985211400 is an apocalyptic number.

30985211400 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 30985211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60371136000).

30985211400 is an abundant number, since it is smaller than the sum of its proper divisors (89757060600).

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

30985211400 is a wasteful number, since it uses less digits than its factorization.

30985211400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 30985211400 in words is "thirty billion, nine hundred eighty-five million, two hundred eleven thousand, four hundred".