4281931654560 has 1728 divisors, whose sum is σ = 18136466030592. Its totient is φ = 934283040768.

The previous prime is 4281931654487. The next prime is 4281931654607. The reversal of 4281931654560 is 654561391824.

4281931654560 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 9 + 31 + 6 + 545 + 60 = 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 = 4281931654497 and 4281931654506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33715997217 + ... + 33715997343.

It is an arithmetic number, because the mean of its divisors is an integer number (10495640064).

Almost surely, 2^{4281931654560} is an apocalyptic number.

4281931654560 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 4281931654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9068233015296).

4281931654560 is an abundant number, since it is smaller than the sum of its proper divisors (13854534376032).

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

4281931654560 is a wasteful number, since it uses less digits than its factorization.

4281931654560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 4281931654560 in words is "four trillion, two hundred eighty-one billion, nine hundred thirty-one million, six hundred fifty-four thousand, five hundred sixty".