418561134480 has 320 divisors, whose sum is σ = 1494944317440. Its totient is φ = 107527564800.

The previous prime is 418561134473. The next prime is 418561134487. The reversal of 418561134480 is 84431165814.

418561134480 is a `hidden beast` number, since 4 + 1 + 8 + 56 + 113 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (418561134473) and next prime (418561134487).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (418561134487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14918065 + ... + 14946095.

It is an arithmetic number, because the mean of its divisors is an integer number (4671700992).

Almost surely, 2^418561134480 is an apocalyptic number.

418561134480 is a gapful number since it is divisible by the number (40) 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 418561134480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747472158720).

418561134480 is an abundant number, since it is smaller than the sum of its proper divisors (1076383182960).

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

418561134480 is a wasteful number, since it uses less digits than its factorization.

418561134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28307 (or 28295 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 418561134480 in words is "four hundred eighteen billion, five hundred sixty-one million, one hundred thirty-four thousand, four hundred eighty".