402386640768 has 384 divisors, whose sum is σ = 1335385958400. Its totient is φ = 113925611520.

The previous prime is 402386640767. The next prime is 402386640791. The reversal of 402386640768 is 867046683204.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402386640767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541569805 + ... + 541570547.

It is an arithmetic number, because the mean of its divisors is an integer number (3477567600).

Almost surely, 2^402386640768 is an apocalyptic number.

402386640768 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 402386640768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667692979200).

402386640768 is an abundant number, since it is smaller than the sum of its proper divisors (932999317632).

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

402386640768 is a wasteful number, since it uses less digits than its factorization.

402386640768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 402386640768 in words is "four hundred two billion, three hundred eighty-six million, six hundred forty thousand, seven hundred sixty-eight".