20289410400 has 432 divisors, whose sum is σ = 77201558784. Its totient is φ = 4628359680.

The previous prime is 20289410321. The next prime is 20289410419. The reversal of 20289410400 is 401498202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40336549 + ... + 40337051.

It is an arithmetic number, because the mean of its divisors is an integer number (178707312).

Almost surely, 2^20289410400 is an apocalyptic number.

20289410400 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 20289410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38600779392).

20289410400 is an abundant number, since it is smaller than the sum of its proper divisors (56912148384).

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

20289410400 is an frugal number, since it uses more digits than its factorization.

20289410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 20289410400 in words is "twenty billion, two hundred eighty-nine million, four hundred ten thousand, four hundred".