4328690254560 has 576 divisors, whose sum is σ = 17644084899840. Its totient is φ = 988284810240.

The previous prime is 4328690254513. The next prime is 4328690254583. The reversal of 4328690254560 is 654520968234.

4328690254560 is a `hidden beast` number, since 4 + 3 + 2 + 8 + 6 + 90 + 2 + 545 + 6 + 0 = 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 = 4328690254497 and 4328690254506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192829257 + ... + 192851703.

It is an arithmetic number, because the mean of its divisors is an integer number (30632091840).

Almost surely, 2^{4328690254560} is an apocalyptic number.

4328690254560 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 4328690254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8822042449920).

4328690254560 is an abundant number, since it is smaller than the sum of its proper divisors (13315394645280).

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

4328690254560 is a wasteful number, since it uses less digits than its factorization.

4328690254560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23396 (or 23375 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4328690254560 in words is "four trillion, three hundred twenty-eight billion, six hundred ninety million, two hundred fifty-four thousand, five hundred sixty".