418620844841472 has 1920 divisors, whose sum is σ = 1597836931891200. Its totient is φ = 102437979291648.

The previous prime is 418620844841471. The next prime is 418620844841497. The reversal of 418620844841472 is 274148448026814.

It is a happy number.

418620844841472 is a `hidden beast` number, since 4 + 1 + 8 + 6 + 2 + 0 + 8 + 4 + 484 + 147 + 2 = 666.

It is a super-2 number, since 2×418620844841472² (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 not an unprimeable number, because it can be changed into a prime (418620844841471) 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, 79935236038 + ... + 79935241274.

It is an arithmetic number, because the mean of its divisors is an integer number (832206735360).

Almost surely, 2^{418620844841472} is an apocalyptic number.

418620844841472 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 418620844841472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798918465945600).

418620844841472 is an abundant number, since it is smaller than the sum of its proper divisors (1179216087049728).

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

418620844841472 is a wasteful number, since it uses less digits than its factorization.

418620844841472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 88080384, while the sum is 63.

It can be divided in two parts, 41862084 and 4841472, that added together give a square (46703556 = 6834²).

The spelling of 418620844841472 in words is "four hundred eighteen trillion, six hundred twenty billion, eight hundred forty-four million, eight hundred forty-one thousand, four hundred seventy-two".