418100396978880 has 2688 divisors, whose sum is σ = 1911240372787200. Its totient is φ = 81266540544000.

The previous prime is 418100396978867. The next prime is 418100396978911. The reversal of 418100396978880 is 88879693001814.

418100396978880 is a `hidden beast` number, since 4 + 1 + 81 + 0 + 0 + 396 + 9 + 7 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 418100396978799 and 418100396978808.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 184266370386 + ... + 184266372654.

It is an arithmetic number, because the mean of its divisors is an integer number (711026924400).

Almost surely, 2^{418100396978880} is an apocalyptic number.

418100396978880 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 418100396978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955620186393600).

418100396978880 is an abundant number, since it is smaller than the sum of its proper divisors (1493139975808320).

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

418100396978880 is a wasteful number, since it uses less digits than its factorization.

418100396978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 72.

The spelling of 418100396978880 in words is "four hundred eighteen trillion, one hundred billion, three hundred ninety-six million, nine hundred seventy-eight thousand, eight hundred eighty".