4141564721280 has 384 divisors, whose sum is σ = 17055018789120. Its totient is φ = 905484754944.

The previous prime is 4141564721279. The next prime is 4141564721377. The reversal of 4141564721280 is 821274651414.

4141564721280 is a `hidden beast` number, since 4 + 1 + 4 + 1 + 56 + 472 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305627 + ... + 3160346.

It is an arithmetic number, because the mean of its divisors is an integer number (44414111430).

Almost surely, 2^{4141564721280} is an apocalyptic number.

4141564721280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4141564721280 is an abundant number, since it is smaller than the sum of its proper divisors (12913454067840).

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

4141564721280 is a wasteful number, since it uses less digits than its factorization.

4141564721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4466028 (or 4466013 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 4141564721280 in words is "four trillion, one hundred forty-one billion, five hundred sixty-four million, seven hundred twenty-one thousand, two hundred eighty".