10042020434400 has 144 divisors (see below), whose sum is σ = 32688661791744. Its totient is φ = 2677717665280.

The previous prime is 10042020434399. The next prime is 10042020434423. The reversal of 10042020434400 is 443402024001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45015937 + ... + 45238463.

It is an arithmetic number, because the mean of its divisors is an integer number (227004595776).

Almost surely, 2^{10042020434400} is an apocalyptic number.

10042020434400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042020434400 is an abundant number, since it is smaller than the sum of its proper divisors (22646641357344).

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

10042020434400 is a wasteful number, since it uses less digits than its factorization.

10042020434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241353 (or 241340 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10042020434400 its reverse (443402024001), we get a palindrome (10485422458401).

The spelling of 10042020434400 in words is "ten trillion, forty-two billion, twenty million, four hundred thirty-four thousand, four hundred".