406341277719552 has 1408 divisors, whose sum is σ = 1445370221813760. Its totient is φ = 111752242790400.

The previous prime is 406341277719527. The next prime is 406341277719623. The reversal of 406341277719552 is 255917772143604.

It is a happy number.

406341277719552 is a `hidden beast` number, since 4 + 0 + 6 + 3 + 4 + 1 + 2 + 7 + 7 + 71 + 9 + 552 = 666.

It is a super-2 number, since 2×406341277719552² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 406341277719552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44944280152 + ... + 44944289192.

It is an arithmetic number, because the mean of its divisors is an integer number (1026541350720).

Almost surely, 2^{406341277719552} is an apocalyptic number.

406341277719552 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 406341277719552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722685110906880).

406341277719552 is an abundant number, since it is smaller than the sum of its proper divisors (1039028944094208).

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

406341277719552 is an frugal number, since it uses more digits than its factorization.

406341277719552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9197 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 406341277719552 in words is "four hundred six trillion, three hundred forty-one billion, two hundred seventy-seven million, seven hundred nineteen thousand, five hundred fifty-two".