402848821440 has 1344 divisors, whose sum is σ = 1617876449280. Its totient is φ = 94775132160.

The previous prime is 402848821439. The next prime is 402848821447. The reversal of 402848821440 is 44128848204.

402848821440 is a `hidden beast` number, since 4 + 0 + 28 + 488 + 2 + 144 + 0 = 666.

402848821440 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (402848821447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2898192891 + ... + 2898193029.

It is an arithmetic number, because the mean of its divisors is an integer number (1203777120).

Almost surely, 2^402848821440 is an apocalyptic number.

402848821440 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 402848821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808938224640).

402848821440 is an abundant number, since it is smaller than the sum of its proper divisors (1215027627840).

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

402848821440 is a wasteful number, since it uses less digits than its factorization.

402848821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 45.

The spelling of 402848821440 in words is "four hundred two billion, eight hundred forty-eight million, eight hundred twenty-one thousand, four hundred forty".