403878881280 has 768 divisors, whose sum is σ = 1583248343040. Its totient is φ = 85876015104.

The previous prime is 403878881251. The next prime is 403878881299. The reversal of 403878881280 is 82188878304.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 403878881280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182997937 + ... + 183000143.

It is an arithmetic number, because the mean of its divisors is an integer number (2061521280).

Almost surely, 2^403878881280 is an apocalyptic number.

403878881280 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 403878881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791624171520).

403878881280 is an abundant number, since it is smaller than the sum of its proper divisors (1179369461760).

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

403878881280 is a wasteful number, since it uses less digits than its factorization.

403878881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 57.

The spelling of 403878881280 in words is "four hundred three billion, eight hundred seventy-eight million, eight hundred eighty-one thousand, two hundred eighty".