408361140096 has 1024 divisors, whose sum is σ = 1473970176000. Its totient is φ = 97151975424.

The previous prime is 408361140091. The next prime is 408361140137. The reversal of 408361140096 is 690041163804.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408361140091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2445276205 + ... + 2445276371.

It is an arithmetic number, because the mean of its divisors is an integer number (1439424000).

Almost surely, 2^408361140096 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 408361140096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736985088000).

408361140096 is an abundant number, since it is smaller than the sum of its proper divisors (1065609035904).

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

408361140096 is a wasteful number, since it uses less digits than its factorization.

408361140096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 408361140096 in words is "four hundred eight billion, three hundred sixty-one million, one hundred forty thousand, ninety-six".