402809816928 has 96 divisors (see below), whose sum is σ = 1066409124480. Its totient is φ = 133125442560.

The previous prime is 402809816917. The next prime is 402809816963. The reversal of 402809816928 is 829618908204.

It is a Cunningham number, because it is equal to 634673²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×402809816928² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10134951 + ... + 10174617.

It is an arithmetic number, because the mean of its divisors is an integer number (11108428380).

Almost surely, 2^402809816928 is an apocalyptic number.

402809816928 is a gapful number since it is divisible by the number (48) 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 402809816928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533204562240).

402809816928 is an abundant number, since it is smaller than the sum of its proper divisors (663599307552).

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

402809816928 is a wasteful number, since it uses less digits than its factorization.

402809816928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40580 (or 40572 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 57.

The spelling of 402809816928 in words is "four hundred two billion, eight hundred nine million, eight hundred sixteen thousand, nine hundred twenty-eight".