405212315512004 has 384 divisors, whose sum is σ = 1007801042411520. Its totient is φ = 137292160204800.

The previous prime is 405212315512003. The next prime is 405212315512013. The reversal of 405212315512004 is 400215513212504.

It is a super-3 number, since 3×405212315512004³ (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (405212315512001) 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, 64207304009 + ... + 64207310319.

It is an arithmetic number, because the mean of its divisors is an integer number (2624481881280).

Almost surely, 2^{405212315512004} is an apocalyptic number.

405212315512004 is a gapful number since it is divisible by the number (44) 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 405212315512004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503900521205760).

405212315512004 is an abundant number, since it is smaller than the sum of its proper divisors (602588726899516).

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

405212315512004 is a wasteful number, since it uses less digits than its factorization.

405212315512004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10931 (or 10929 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 405212315512004 its reverse (400215513212504), we get a palindrome (805427828724508).

The spelling of 405212315512004 in words is "four hundred five trillion, two hundred twelve billion, three hundred fifteen million, five hundred twelve thousand, four".