4393402260480 has 880 divisors, whose sum is σ = 16926097351680. Its totient is φ = 1086205427712.

The previous prime is 4393402260451. The next prime is 4393402260493. The reversal of 4393402260480 is 840622043934.

4393402260480 is a `hidden beast` number, since 4 + 3 + 9 + 34 + 0 + 2 + 2 + 604 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 370339029 + ... + 370350891.

It is an arithmetic number, because the mean of its divisors is an integer number (19234201536).

Almost surely, 2^{4393402260480} is an apocalyptic number.

4393402260480 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 4393402260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8463048675840).

4393402260480 is an abundant number, since it is smaller than the sum of its proper divisors (12532695091200).

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

4393402260480 is a wasteful number, since it uses less digits than its factorization.

4393402260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 4393402260480 in words is "four trillion, three hundred ninety-three billion, four hundred two million, two hundred sixty thousand, four hundred eighty".