424377480960 has 1080 divisors, whose sum is σ = 1633739243136. Its totient is φ = 105066823680.

The previous prime is 424377480941. The next prime is 424377480971. The reversal of 424377480960 is 69084773424.

424377480960 is a `hidden beast` number, since 4 + 2 + 4 + 3 + 77 + 480 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 424377480897 and 424377480906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2703041202 + ... + 2703041358.

Almost surely, 2^424377480960 is an apocalyptic number.

424377480960 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 424377480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816869621568).

424377480960 is an abundant number, since it is smaller than the sum of its proper divisors (1209361762176).

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

424377480960 is a wasteful number, since it uses less digits than its factorization.

424377480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 424377480960 in words is "four hundred twenty-four billion, three hundred seventy-seven million, four hundred eighty thousand, nine hundred sixty".