42305421312000 has 4256 divisors, whose sum is σ = 205966374441984. Its totient is φ = 8408530944000.

The previous prime is 42305421311969. The next prime is 42305421312013. The reversal of 42305421312000 is 21312450324.

42305421312000 is a `hidden beast` number, since 4 + 2 + 3 + 0 + 5 + 421 + 31 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1839366143989 + ... + 1839366144011.

Almost surely, 2^{42305421312000} is an apocalyptic number.

42305421312000 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 42305421312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102983187220992).

42305421312000 is an abundant number, since it is smaller than the sum of its proper divisors (163660953129984).

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

42305421312000 is an frugal number, since it uses more digits than its factorization.

42305421312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 42305421312000 its reverse (21312450324), we get a palindrome (42326733762324).

The spelling of 42305421312000 in words is "forty-two trillion, three hundred five billion, four hundred twenty-one million, three hundred twelve thousand".