20042015400 has 288 divisors, whose sum is σ = 73863709920. Its totient is φ = 4829760000.

The previous prime is 20042015339. The next prime is 20042015401. The reversal of 20042015400 is 451024002.

20042015400 is a `hidden beast` number, since 200 + 420 + 1 + 5 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20042015401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3422475 + ... + 3428325.

It is an arithmetic number, because the mean of its divisors is an integer number (256471215).

Almost surely, 2^20042015400 is an apocalyptic number.

20042015400 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 20042015400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36931854960).

20042015400 is an abundant number, since it is smaller than the sum of its proper divisors (53821694520).

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

20042015400 is a wasteful number, since it uses less digits than its factorization.

20042015400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6057 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 20042015400 its reverse (451024002), we get a palindrome (20493039402).

The spelling of 20042015400 in words is "twenty billion, forty-two million, fifteen thousand, four hundred".