406945377630 has 384 divisors, whose sum is σ = 1313885214720. Its totient is φ = 86088683520.

The previous prime is 406945377623. The next prime is 406945377659. The reversal of 406945377630 is 36773549604.

It is a happy number.

406945377630 is a `hidden beast` number, since 4 + 0 + 6 + 9 + 4 + 537 + 76 + 30 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15015652 + ... + 15042728.

It is an arithmetic number, because the mean of its divisors is an integer number (3421576080).

Almost surely, 2^406945377630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406945377630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656942607360).

406945377630 is an abundant number, since it is smaller than the sum of its proper divisors (906939837090).

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

406945377630 is a wasteful number, since it uses less digits than its factorization.

406945377630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27184 (or 27181 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 406945377630 in words is "four hundred six billion, nine hundred forty-five million, three hundred seventy-seven thousand, six hundred thirty".