406929611088 has 960 divisors, whose sum is σ = 1661813637120. Its totient is φ = 89430220800.

The previous prime is 406929611087. The next prime is 406929611129. The reversal of 406929611088 is 880116929604.

406929611088 is a `hidden beast` number, since 406 + 92 + 9 + 61 + 10 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406929611087) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84898420 + ... + 84903212.

It is an arithmetic number, because the mean of its divisors is an integer number (1731055872).

Almost surely, 2^406929611088 is an apocalyptic number.

406929611088 is a gapful number since it is divisible by the number (48) 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 406929611088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830906818560).

406929611088 is an abundant number, since it is smaller than the sum of its proper divisors (1254884026032).

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

406929611088 is a wasteful number, since it uses less digits than its factorization.

406929611088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4888 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 406929611088 in words is "four hundred six billion, nine hundred twenty-nine million, six hundred eleven thousand, eighty-eight".