418073878144 has 64 divisors (see below), whose sum is σ = 898325283240. Its totient is φ = 192661180416.

The previous prime is 418073878141. The next prime is 418073878163. The reversal of 418073878144 is 441878370814.

It can be written as a sum of positive squares in 4 ways, for example, as 201744705600 + 216329172544 = 449160^2 + 465112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (418073878141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 894214 + ... + 1278970.

Almost surely, 2^418073878144 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 418073878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449162641620).

418073878144 is an abundant number, since it is smaller than the sum of its proper divisors (480251405096).

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

418073878144 is a wasteful number, since it uses less digits than its factorization.

418073878144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385437 (or 385425 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 55.

The spelling of 418073878144 in words is "four hundred eighteen billion, seventy-three million, eight hundred seventy-eight thousand, one hundred forty-four".