402662227968000 has 6048 divisors, whose sum is σ = 2027296611465216. Its totient is φ = 74742497280000.

The previous prime is 402662227967983. The next prime is 402662227968023. The reversal of 402662227968000 is 869722266204.

402662227968000 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 622 + 2 + 7 + 9 + 6 + 8 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12989104127985 + ... + 12989104128015.

Almost surely, 2^{402662227968000} is an apocalyptic number.

402662227968000 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 402662227968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013648305732608).

402662227968000 is an abundant number, since it is smaller than the sum of its proper divisors (1624634383497216).

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

402662227968000 is an equidigital number, since it uses as much as digits as its factorization.

402662227968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 402662227968000 in words is "four hundred two trillion, six hundred sixty-two billion, two hundred twenty-seven million, nine hundred sixty-eight thousand".