406075581548 has 288 divisors, whose sum is σ = 930855518208. Its totient is φ = 151571347200.

The previous prime is 406075581547. The next prime is 406075581649. The reversal of 406075581548 is 845185570604.

It is a self number, because there is not a number n which added to its sum of digits gives 406075581548.

It is not an unprimeable number, because it can be changed into a prime (406075581547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1322721611 + ... + 1322721917.

It is an arithmetic number, because the mean of its divisors is an integer number (3232137216).

Almost surely, 2^406075581548 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 406075581548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465427759104).

406075581548 is an abundant number, since it is smaller than the sum of its proper divisors (524779936660).

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

406075581548 is a wasteful number, since it uses less digits than its factorization.

406075581548 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 53.

The spelling of 406075581548 in words is "four hundred six billion, seventy-five million, five hundred eighty-one thousand, five hundred forty-eight".