406819181524 has 144 divisors (see below), whose sum is σ = 864947220480. Its totient is φ = 166749649920.

The previous prime is 406819181519. The next prime is 406819181537. The reversal of 406819181524 is 425181918604.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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, 328875034 + ... + 328876270.

It is an arithmetic number, because the mean of its divisors is an integer number (6006577920).

Almost surely, 2^406819181524 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 406819181524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432473610240).

406819181524 is an abundant number, since it is smaller than the sum of its proper divisors (458128038956).

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

406819181524 is a wasteful number, since it uses less digits than its factorization.

406819181524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

The spelling of 406819181524 in words is "four hundred six billion, eight hundred nineteen million, one hundred eighty-one thousand, five hundred twenty-four".