10042320400 has 60 divisors (see below), whose sum is σ = 27573350272. Its totient is φ = 3443080320.

The previous prime is 10042320391. The next prime is 10042320413. The reversal of 10042320400 is 402324001.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 11 ways as a sum of consecutive naturals, for example, 1790472 + ... + 1796071.

Almost surely, 2^10042320400 is an apocalyptic number.

10042320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042320400 is an abundant number, since it is smaller than the sum of its proper divisors (17531029872).

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

10042320400 is a wasteful number, since it uses less digits than its factorization.

10042320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586568 (or 3586557 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10042320400 its reverse (402324001), we get a palindrome (10444644401).

The spelling of 10042320400 in words is "ten billion, forty-two million, three hundred twenty thousand, four hundred".