42431798400 has 192 divisors, whose sum is σ = 145837005120. Its totient is φ = 10823127040.

The previous prime is 42431798323. The next prime is 42431798407. The reversal of 42431798400 is 489713424.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (42431798407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124714 + ... + 316886.

It is an arithmetic number, because the mean of its divisors is an integer number (759567735).

Almost surely, 2^42431798400 is an apocalyptic number.

42431798400 is a gapful number since it is divisible by the number (40) 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 42431798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72918502560).

42431798400 is an abundant number, since it is smaller than the sum of its proper divisors (103405206720).

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

42431798400 is a wasteful number, since it uses less digits than its factorization.

42431798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192223 (or 192206 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 42431798400 in words is "forty-two billion, four hundred thirty-one million, seven hundred ninety-eight thousand, four hundred".