402150610120 has 128 divisors (see below), whose sum is σ = 1056645596160. Its totient is φ = 134877358080.

The previous prime is 402150610079. The next prime is 402150610177. The reversal of 402150610120 is 21016051204.

It is a super-2 number, since 2×402150610120² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 402150610091 and 402150610100.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30011262 + ... + 30024658.

It is an arithmetic number, because the mean of its divisors is an integer number (8255043720).

Almost surely, 2^402150610120 is an apocalyptic number.

402150610120 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 402150610120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528322798080).

402150610120 is an abundant number, since it is smaller than the sum of its proper divisors (654494986040).

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

402150610120 is a wasteful number, since it uses less digits than its factorization.

402150610120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15743 (or 15739 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 402150610120 its reverse (21016051204), we get a palindrome (423166661324).

The spelling of 402150610120 in words is "four hundred two billion, one hundred fifty million, six hundred ten thousand, one hundred twenty".