408197124192 has 288 divisors, whose sum is σ = 1335148738560. Its totient is φ = 108170726400.

The previous prime is 408197124169. The next prime is 408197124199. The reversal of 408197124192 is 291421791804.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408197124199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2798017 + ... + 2940287.

It is an arithmetic number, because the mean of its divisors is an integer number (4635933120).

Almost surely, 2^408197124192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408197124192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667574369280).

408197124192 is an abundant number, since it is smaller than the sum of its proper divisors (926951614368).

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

408197124192 is a wasteful number, since it uses less digits than its factorization.

408197124192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142338 (or 142319 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 408197124192 in words is "four hundred eight billion, one hundred ninety-seven million, one hundred twenty-four thousand, one hundred ninety-two".