402268620800 has 108 divisors (see below), whose sum is σ = 997738572285. Its totient is φ = 160850042880.

The previous prime is 402268620797. The next prime is 402268620827. The reversal of 402268620800 is 8026862204.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 394223248384 + 8045372416 = 627872^2 + 89696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=448480.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143512199 + ... + 143515001.

Almost surely, 2^402268620800 is an apocalyptic number.

402268620800 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 402268620800

402268620800 is an abundant number, since it is smaller than the sum of its proper divisors (595469951485).

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

402268620800 is an frugal number, since it uses more digits than its factorization.

402268620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5638 (or 2810 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The spelling of 402268620800 in words is "four hundred two billion, two hundred sixty-eight million, six hundred twenty thousand, eight hundred".