10005042234400 has 72 divisors (see below), whose sum is σ = 24992828262864. Its totient is φ = 3908946720000.

The previous prime is 10005042234307. The next prime is 10005042234461. The reversal of 10005042234400 is 443224050001.

It is a happy number.

It is a super-2 number, since 2×10005042234400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145387726 + ... + 145456525.

It is an arithmetic number, because the mean of its divisors is an integer number (347122614762).

Almost surely, 2^{10005042234400} is an apocalyptic number.

10005042234400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10005042234400 is an abundant number, since it is smaller than the sum of its proper divisors (14987786028464).

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

10005042234400 is a wasteful number, since it uses less digits than its factorization.

10005042234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290844314 (or 290844301 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 10005042234400 its reverse (443224050001), we get a palindrome (10448266284401).

The spelling of 10005042234400 in words is "ten trillion, five billion, forty-two million, two hundred thirty-four thousand, four hundred".