402279958080 has 1344 divisors, whose sum is σ = 1938895515648. Its totient is φ = 73793617920.

The previous prime is 402279958051. The next prime is 402279958153. The reversal of 402279958080 is 80859972204.

402279958080 is a `hidden beast` number, since 402 + 2 + 79 + 95 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66303207 + ... + 66309273.

It is an arithmetic number, because the mean of its divisors is an integer number (1442630592).

Almost surely, 2^402279958080 is an apocalyptic number.

402279958080 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 402279958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (969447757824).

402279958080 is an abundant number, since it is smaller than the sum of its proper divisors (1536615557568).

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

402279958080 is a wasteful number, since it uses less digits than its factorization.

402279958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6144 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 402279958080 in words is "four hundred two billion, two hundred seventy-nine million, nine hundred fifty-eight thousand, eighty".