541455659640 has 512 divisors, whose sum is σ = 2186163302400. Its totient is φ = 116367114240.

The previous prime is 541455659609. The next prime is 541455659659. The reversal of 541455659640 is 46956554145.

It is a happy number.

541455659640 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 5 + 5 + 6 + 596 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 237375300 + ... + 237377580.

It is an arithmetic number, because the mean of its divisors is an integer number (4269850200).

Almost surely, 2^541455659640 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 541455659640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093081651200).

541455659640 is an abundant number, since it is smaller than the sum of its proper divisors (1644707642760).

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

541455659640 is a wasteful number, since it uses less digits than its factorization.

541455659640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4172 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 541455659640 in words is "five hundred forty-one billion, four hundred fifty-five million, six hundred fifty-nine thousand, six hundred forty".