42123110400 has 720 divisors, whose sum is σ = 178425767520. Its totient is φ = 9621504000.

The previous prime is 42123110387. The next prime is 42123110461. The reversal of 42123110400 is 401132124.

42123110400 is a `hidden beast` number, since 4 + 21 + 231 + 10 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 29029675 + ... + 29031125.

It is an arithmetic number, because the mean of its divisors is an integer number (247813566).

Almost surely, 2^42123110400 is an apocalyptic number.

42123110400 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 42123110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89212883760).

42123110400 is an abundant number, since it is smaller than the sum of its proper divisors (136302657120).

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

42123110400 is a wasteful number, since it uses less digits than its factorization.

42123110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42123110400 its reverse (401132124), we get a palindrome (42524242524).

The spelling of 42123110400 in words is "forty-two billion, one hundred twenty-three million, one hundred ten thousand, four hundred".