411862993920 has 1584 divisors, whose sum is σ = 1798702633728. Its totient is φ = 88504565760.

The previous prime is 411862993909. The next prime is 411862993937. The reversal of 411862993920 is 29399268114.

411862993920 is a `hidden beast` number, since 4 + 1 + 1 + 8 + 629 + 9 + 3 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×411862993920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3143992255 + ... + 3143992385.

It is an arithmetic number, because the mean of its divisors is an integer number (1135544592).

Almost surely, 2^411862993920 is an apocalyptic number.

411862993920 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 411862993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899351316864).

411862993920 is an abundant number, since it is smaller than the sum of its proper divisors (1386839639808).

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

411862993920 is a wasteful number, since it uses less digits than its factorization.

411862993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 411862993920 in words is "four hundred eleven billion, eight hundred sixty-two million, nine hundred ninety-three thousand, nine hundred twenty".