541072465920 has 896 divisors, whose sum is σ = 2259123955200. Its totient is φ = 120267472896.

The previous prime is 541072465919. The next prime is 541072465939. The reversal of 541072465920 is 29564270145.

541072465920 is a `hidden beast` number, since 5 + 4 + 10 + 7 + 2 + 46 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×541072465920² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 286432336 + ... + 286434224.

It is an arithmetic number, because the mean of its divisors is an integer number (2521343700).

Almost surely, 2^541072465920 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 541072465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129561977600).

541072465920 is an abundant number, since it is smaller than the sum of its proper divisors (1718051489280).

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

541072465920 is a wasteful number, since it uses less digits than its factorization.

541072465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 541072465920 in words is "five hundred forty-one billion, seventy-two million, four hundred sixty-five thousand, nine hundred twenty".