10405220400 has 180 divisors, whose sum is σ = 36618482160. Its totient is φ = 2735577600.

The previous prime is 10405220381. The next prime is 10405220407. The reversal of 10405220400 is 402250401.

10405220400 is a `hidden beast` number, since 1 + 0 + 40 + 5 + 220 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10405220400² (a number of 21 digits) contains 22 as substring.

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 (10405220407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235246 + ... + 275954.

It is an arithmetic number, because the mean of its divisors is an integer number (203436012).

Almost surely, 2^10405220400 is an apocalyptic number.

10405220400 is a gapful number since it is divisible by the number (10) 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 10405220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309241080).

10405220400 is an abundant number, since it is smaller than the sum of its proper divisors (26213261760).

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

10405220400 is a wasteful number, since it uses less digits than its factorization.

10405220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40804 (or 40790 counting only the distinct ones).

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

Adding to 10405220400 its reverse (402250401), we get a palindrome (10807470801).

The spelling of 10405220400 in words is "ten billion, four hundred five million, two hundred twenty thousand, four hundred".