20407028400 has 360 divisors, whose sum is σ = 79146653040. Its totient is φ = 4826112000.

The previous prime is 20407028387. The next prime is 20407028419. The reversal of 20407028400 is 482070402.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1617316 + ... + 1629884.

It is an arithmetic number, because the mean of its divisors is an integer number (219851814).

Almost surely, 2^20407028400 is an apocalyptic number.

20407028400 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 20407028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39573326520).

20407028400 is an abundant number, since it is smaller than the sum of its proper divisors (58739624640).

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

20407028400 is a wasteful number, since it uses less digits than its factorization.

20407028400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12645 (or 12631 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 20407028400 its reverse (482070402), we get a palindrome (20889098802).

The spelling of 20407028400 in words is "twenty billion, four hundred seven million, twenty-eight thousand, four hundred".