402016120 has 64 divisors (see below), whose sum is σ = 996105600. Its totient is φ = 144804480.

The previous prime is 402016093. The next prime is 402016123. The reversal of 402016120 is 21610204.

It is a junction number, because it is equal to n+sod(n) for n = 402016094 and 402016103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402016123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42811 + ... + 51349.

It is an arithmetic number, because the mean of its divisors is an integer number (15564150).

Almost surely, 2^402016120 is an apocalyptic number.

402016120 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 402016120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498052800).

402016120 is an abundant number, since it is smaller than the sum of its proper divisors (594089480).

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

402016120 is a wasteful number, since it uses less digits than its factorization.

402016120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8668 (or 8664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 402016120 is about 20050.3396479960. The cubic root of 402016120 is about 738.0421339869.

Adding to 402016120 its reverse (21610204), we get a palindrome (423626324).

The spelling of 402016120 in words is "four hundred two million, sixteen thousand, one hundred twenty".