10420400432 has 80 divisors (see below), whose sum is σ = 22915200000. Its totient is φ = 4550660352.

The previous prime is 10420400423. The next prime is 10420400477. The reversal of 10420400432 is 23400402401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5923169 + ... + 5924927.

It is an arithmetic number, because the mean of its divisors is an integer number (286440000).

Almost surely, 2^10420400432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457600000).

10420400432 is an abundant number, since it is smaller than the sum of its proper divisors (12494799568).

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

10420400432 is a wasteful number, since it uses less digits than its factorization.

10420400432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 10420400432 its reverse (23400402401), we get a palindrome (33820802833).

The spelling of 10420400432 in words is "ten billion, four hundred twenty million, four hundred thousand, four hundred thirty-two".