406696504032 has 288 divisors, whose sum is σ = 1450300033728. Its totient is φ = 105236471808.

The previous prime is 406696504003. The next prime is 406696504043. The reversal of 406696504032 is 230405696604.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1242628 + ... + 1535420.

It is an arithmetic number, because the mean of its divisors is an integer number (5035764006).

Almost surely, 2^406696504032 is an apocalyptic number.

406696504032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406696504032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725150016864).

406696504032 is an abundant number, since it is smaller than the sum of its proper divisors (1043603529696).

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

406696504032 is a wasteful number, since it uses less digits than its factorization.

406696504032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292882 (or 292871 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 406696504032 in words is "four hundred six billion, six hundred ninety-six million, five hundred four thousand, thirty-two".