402048396288 has 1980 divisors, whose sum is σ = 1686385856232. Its totient is φ = 94012047360.

The previous prime is 402048396283. The next prime is 402048396329. The reversal of 402048396288 is 882693840204.

402048396288 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 4 + 8 + 3 + 9 + 628 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (402048396283) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 17480365045 + ... + 17480365067.

Almost surely, 2^402048396288 is an apocalyptic number.

402048396288 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 402048396288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843192928116).

402048396288 is an abundant number, since it is smaller than the sum of its proper divisors (1284337459944).

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

402048396288 is a wasteful number, since it uses less digits than its factorization.

402048396288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 402048396288 in words is "four hundred two billion, forty-eight million, three hundred ninety-six thousand, two hundred eighty-eight".