402730298880 has 960 divisors, whose sum is σ = 1677871895040. Its totient is φ = 80464969728.

The previous prime is 402730298837. The next prime is 402730298881. The reversal of 402730298880 is 88892037204.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402730298881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172622194 + ... + 172624526.

It is an arithmetic number, because the mean of its divisors is an integer number (1747783224).

Almost surely, 2^402730298880 is an apocalyptic number.

402730298880 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 402730298880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838935947520).

402730298880 is an abundant number, since it is smaller than the sum of its proper divisors (1275141596160).

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

402730298880 is a wasteful number, since it uses less digits than its factorization.

402730298880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2411 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 402730298880 in words is "four hundred two billion, seven hundred thirty million, two hundred ninety-eight thousand, eight hundred eighty".