413445774151872 has 2688 divisors, whose sum is σ = 1597537431060480. Its totient is φ = 99139977216000.

The previous prime is 413445774151843. The next prime is 413445774151897. The reversal of 413445774151872 is 278151477544314.

413445774151872 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 4 + 5 + 7 + 7 + 41 + 518 + 72 = 666.

It is a super-2 number, since 2×413445774151872² (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 an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 445043889904 + ... + 445043890832.

It is an arithmetic number, because the mean of its divisors is an integer number (594321960960).

Almost surely, 2^{413445774151872} is an apocalyptic number.

413445774151872 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 413445774151872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798768715530240).

413445774151872 is an abundant number, since it is smaller than the sum of its proper divisors (1184091656908608).

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

413445774151872 is a wasteful number, since it uses less digits than its factorization.

413445774151872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1198 counting only the distinct ones).

The product of its digits is 105369600, while the sum is 63.

The spelling of 413445774151872 in words is "four hundred thirteen trillion, four hundred forty-five billion, seven hundred seventy-four million, one hundred fifty-one thousand, eight hundred seventy-two".