405022401102120 has 64 divisors (see below), whose sum is σ = 1215069588400320. Its totient is φ = 108005761618944.

The previous prime is 405022401102113. The next prime is 405022401102127. The reversal of 405022401102120 is 21201104220504.

It is an interprime number because it is at equal distance from previous prime (405022401102113) and next prime (405022401102127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (405022401102127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63700192 + ... + 69769328.

It is an arithmetic number, because the mean of its divisors is an integer number (18985462318755).

Almost surely, 2^{405022401102120} is an apocalyptic number.

405022401102120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405022401102120 is an abundant number, since it is smaller than the sum of its proper divisors (810047187298200).

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

405022401102120 is a wasteful number, since it uses less digits than its factorization.

405022401102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6625274 (or 6625270 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 405022401102120 its reverse (21201104220504), we get a palindrome (426223505322624).

The spelling of 405022401102120 in words is "four hundred five trillion, twenty-two billion, four hundred one million, one hundred two thousand, one hundred twenty".