321414042534000 has 640 divisors, whose sum is σ = 1159031947207680. Its totient is φ = 76084646400000.

The previous prime is 321414042533953. The next prime is 321414042534007. The reversal of 321414042534000 is 435240414123.

It is a super-2 number, since 2×321414042534000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321414042534007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 567478947 + ... + 568045053.

It is an arithmetic number, because the mean of its divisors is an integer number (1810987417512).

Almost surely, 2^{321414042534000} is an apocalyptic number.

321414042534000 is a gapful number since it is divisible by the number (30) 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 321414042534000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579515973603840).

321414042534000 is an abundant number, since it is smaller than the sum of its proper divisors (837617904673680).

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

321414042534000 is a wasteful number, since it uses less digits than its factorization.

321414042534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566426 (or 566410 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 321414042534000 its reverse (435240414123), we get a palindrome (321849282948123).

The spelling of 321414042534000 in words is "three hundred twenty-one trillion, four hundred fourteen billion, forty-two million, five hundred thirty-four thousand".