402046051680 has 1728 divisors, whose sum is σ = 1782351672192. Its totient is φ = 80741007360.

The previous prime is 402046051669. The next prime is 402046051717. The reversal of 402046051680 is 86150640204.

402046051680 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 4 + 60 + 516 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5507480124 + ... + 5507480196.

It is an arithmetic number, because the mean of its divisors is an integer number (1031453514).

Almost surely, 2^402046051680 is an apocalyptic number.

402046051680 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 402046051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891175836096).

402046051680 is an abundant number, since it is smaller than the sum of its proper divisors (1380305620512).

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

402046051680 is a wasteful number, since it uses less digits than its factorization.

402046051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 402046051680 its reverse (86150640204), we get a palindrome (488196691884).

The spelling of 402046051680 in words is "four hundred two billion, forty-six million, fifty-one thousand, six hundred eighty".