406650089088 has 384 divisors, whose sum is σ = 1255483532160. Its totient is φ = 126030643200.

The previous prime is 406650089081. The next prime is 406650089107. The reversal of 406650089088 is 880980056604.

It is a happy number.

406650089088 is a `hidden beast` number, since 40 + 6 + 6 + 500 + 8 + 90 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (406650089081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274577308 + ... + 274578788.

It is an arithmetic number, because the mean of its divisors is an integer number (3269488365).

Almost surely, 2^406650089088 is an apocalyptic number.

406650089088 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 406650089088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627741766080).

406650089088 is an abundant number, since it is smaller than the sum of its proper divisors (848833443072).

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

406650089088 is a wasteful number, since it uses less digits than its factorization.

406650089088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 406650089088 in words is "four hundred six billion, six hundred fifty million, eighty-nine thousand, eighty-eight".