30490214400 has 450 divisors, whose sum is σ = 113076295640. Its totient is φ = 8121876480.

The previous prime is 30490214383. The next prime is 30490214401. The reversal of 30490214400 is 441209403.

30490214400 is a `hidden beast` number, since 3 + 0 + 49 + 0 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30490214401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 33177141 + ... + 33178059.

Almost surely, 2^30490214400 is an apocalyptic number.

30490214400 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 30490214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56538147820).

30490214400 is an abundant number, since it is smaller than the sum of its proper divisors (82586081240).

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

30490214400 is an frugal number, since it uses more digits than its factorization.

30490214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 30490214400 in words is "thirty billion, four hundred ninety million, two hundred fourteen thousand, four hundred".