541416464640 has 216 divisors, whose sum is σ = 1873822630680. Its totient is φ = 144333176832.

The previous prime is 541416464621. The next prime is 541416464653. The reversal of 541416464640 is 46464614145.

541416464640 is a `hidden beast` number, since 5 + 4 + 141 + 6 + 46 + 464 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 271282639104 + 270133825536 = 520848^2 + 519744^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56316474 + ... + 56326086.

Almost surely, 2^541416464640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541416464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936911315340).

541416464640 is an abundant number, since it is smaller than the sum of its proper divisors (1332406166040).

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

541416464640 is a wasteful number, since it uses less digits than its factorization.

541416464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14529 (or 14512 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 541416464640 in words is "five hundred forty-one billion, four hundred sixteen million, four hundred sixty-four thousand, six hundred forty".