10424140400 has 60 divisors (see below), whose sum is σ = 25151707152. Its totient is φ = 4151723520.

The previous prime is 10424140381. The next prime is 10424140417. The reversal of 10424140400 is 404142401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37277 + ... + 149123.

Almost surely, 2^10424140400 is an apocalyptic number.

10424140400 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 10424140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12575853576).

10424140400 is an abundant number, since it is smaller than the sum of its proper divisors (14727566752).

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

10424140400 is a wasteful number, since it uses less digits than its factorization.

10424140400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112098 (or 112087 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10424140400 its reverse (404142401), we get a palindrome (10828282801).

The spelling of 10424140400 in words is "ten billion, four hundred twenty-four million, one hundred forty thousand, four hundred".