20330249297400 has 768 divisors, whose sum is σ = 81903115008000. Its totient is φ = 4539367526400.

The previous prime is 20330249297389. The next prime is 20330249297417. The reversal of 20330249297400 is 479294203302.

20330249297400 is a `hidden beast` number, since 2 + 0 + 3 + 30 + 2 + 492 + 97 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 191 ways as a sum of consecutive naturals, for example, 292499452 + ... + 292568948.

It is an arithmetic number, because the mean of its divisors is an integer number (106644681000).

Almost surely, 2^{20330249297400} is an apocalyptic number.

20330249297400 is a gapful number since it is divisible by the number (20) 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 20330249297400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40951557504000).

20330249297400 is an abundant number, since it is smaller than the sum of its proper divisors (61572865710600).

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

20330249297400 is a wasteful number, since it uses less digits than its factorization.

20330249297400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69709 (or 69694 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 20330249297400 in words is "twenty trillion, three hundred thirty billion, two hundred forty-nine million, two hundred ninety-seven thousand, four hundred".