406711951344 has 360 divisors, whose sum is σ = 1291124661840. Its totient is φ = 119058812928.

The previous prime is 406711951343. The next prime is 406711951351. The reversal of 406711951344 is 443159117604.

406711951344 is a `hidden beast` number, since 406 + 7 + 1 + 195 + 13 + 44 = 666.

It is a super-2 number, since 2×406711951344² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 406711951344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406711951343) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59206342 + ... + 59213210.

It is an arithmetic number, because the mean of its divisors is an integer number (3586457394).

Almost surely, 2^406711951344 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 406711951344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645562330920).

406711951344 is an abundant number, since it is smaller than the sum of its proper divisors (884412710496).

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

406711951344 is a wasteful number, since it uses less digits than its factorization.

406711951344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7005 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 406711951344 in words is "four hundred six billion, seven hundred eleven million, nine hundred fifty-one thousand, three hundred forty-four".