42304152400000 has 384 divisors, whose sum is σ = 107365978137600. Its totient is φ = 16599098880000.

The previous prime is 42304152399973. The next prime is 42304152400117. The reversal of 42304152400000 is 425140324.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4961195737 + ... + 4961204263.

It is an arithmetic number, because the mean of its divisors is an integer number (279598901400).

Almost surely, 2^{42304152400000} is an apocalyptic number.

42304152400000 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 42304152400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53682989068800).

42304152400000 is an abundant number, since it is smaller than the sum of its proper divisors (65061825737600).

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

42304152400000 is an frugal number, since it uses more digits than its factorization.

42304152400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8802 (or 8770 counting only the distinct ones).

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

Adding to 42304152400000 its reverse (425140324), we get a palindrome (42304577540324).

The spelling of 42304152400000 in words is "forty-two trillion, three hundred four billion, one hundred fifty-two million, four hundred thousand".