402435679128 has 128 divisors (see below), whose sum is σ = 1155596544000. Its totient is φ = 114405064704.

The previous prime is 402435679127. The next prime is 402435679141. The reversal of 402435679128 is 821976534204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402435679127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27676276 + ... + 27690812.

It is an arithmetic number, because the mean of its divisors is an integer number (9028098000).

It is a 1-persistent number, because it is pandigital, but 2⋅402435679128 = 804871358256 is not.

Almost surely, 2^402435679128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402435679128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577798272000).

402435679128 is an abundant number, since it is smaller than the sum of its proper divisors (753160864872).

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

402435679128 is a wasteful number, since it uses less digits than its factorization.

402435679128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15369 (or 15365 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 402435679128 in words is "four hundred two billion, four hundred thirty-five million, six hundred seventy-nine thousand, one hundred twenty-eight".