402768754560 has 1280 divisors, whose sum is σ = 1592165393280. Its totient is φ = 96613171200.

The previous prime is 402768754513. The next prime is 402768754573. The reversal of 402768754560 is 65457867204.

It is a happy number.

402768754560 is a `hidden beast` number, since 4 + 0 + 2 + 7 + 6 + 8 + 75 + 4 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 402768754497 and 402768754506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2565406002 + ... + 2565406158.

Almost surely, 2^402768754560 is an apocalyptic number.

402768754560 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 402768754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796082696640).

402768754560 is an abundant number, since it is smaller than the sum of its proper divisors (1189396638720).

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

402768754560 is a wasteful number, since it uses less digits than its factorization.

402768754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 402768754560 in words is "four hundred two billion, seven hundred sixty-eight million, seven hundred fifty-four thousand, five hundred sixty".