402136416 has 144 divisors (see below), whose sum is σ = 1302013440. Its totient is φ = 116540160.

The previous prime is 402136409. The next prime is 402136421. The reversal of 402136416 is 614631204.

402136416 is a `hidden beast` number, since 4 + 0 + 2 + 13 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 402136416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70105 + ... + 75623.

It is an arithmetic number, because the mean of its divisors is an integer number (9041760).

Almost surely, 2^402136416 is an apocalyptic number.

402136416 is a gapful number since it is divisible by the number (46) 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 402136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651006720).

402136416 is an abundant number, since it is smaller than the sum of its proper divisors (899877024).

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

402136416 is a wasteful number, since it uses less digits than its factorization.

402136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 402136416 is about 20053.3392730488. The cubic root of 402136416 is about 738.1157418664.

The spelling of 402136416 in words is "four hundred two million, one hundred thirty-six thousand, four hundred sixteen".