413721987374880 has 3840 divisors, whose sum is σ = 1735159154319360. Its totient is φ = 92131806412800.

The previous prime is 413721987374837. The next prime is 413721987374881. The reversal of 413721987374880 is 88473789127314.

413721987374880 is a `hidden beast` number, since 4 + 1 + 3 + 7 + 21 + 98 + 7 + 37 + 488 + 0 = 666.

It is a super-2 number, since 2×413721987374880² (a number of 30 digits) contains 22 as substring.

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 = 413721987374799 and 413721987374808.

It is not an unprimeable number, because it can be changed into a prime (413721987374881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 897444657850 + ... + 897444658310.

It is an arithmetic number, because the mean of its divisors is an integer number (451864363104).

Almost surely, 2^{413721987374880} is an apocalyptic number.

413721987374880 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 413721987374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867579577159680).

413721987374880 is an abundant number, since it is smaller than the sum of its proper divisors (1321437166944480).

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

413721987374880 is a wasteful number, since it uses less digits than its factorization.

413721987374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 455196672, while the sum is 72.

The spelling of 413721987374880 in words is "four hundred thirteen trillion, seven hundred twenty-one billion, nine hundred eighty-seven million, three hundred seventy-four thousand, eight hundred eighty".