402868446120 has 384 divisors, whose sum is σ = 1560410691840. Its totient is φ = 91572664320.

The previous prime is 402868446119. The next prime is 402868446209. The reversal of 402868446120 is 21644868204.

402868446120 is a `hidden beast` number, since 4 + 0 + 2 + 86 + 8 + 446 + 120 = 666.

402868446120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12298884 + ... + 12331596.

It is an arithmetic number, because the mean of its divisors is an integer number (4063569510).

Almost surely, 2^402868446120 is an apocalyptic number.

402868446120 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 402868446120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780205345920).

402868446120 is an abundant number, since it is smaller than the sum of its proper divisors (1157542245720).

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

402868446120 is a wasteful number, since it uses less digits than its factorization.

402868446120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32927 (or 32911 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 402868446120 in words is "four hundred two billion, eight hundred sixty-eight million, four hundred forty-six thousand, one hundred twenty".