408073243536 has 240 divisors, whose sum is σ = 1337953294080. Its totient is φ = 113701294080.

The previous prime is 408073243519. The next prime is 408073243537. The reversal of 408073243536 is 635342370804.

408073243536 is a `hidden beast` number, since 4 + 0 + 8 + 0 + 73 + 2 + 43 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 408073243491 and 408073243500.

It is not an unprimeable number, because it can be changed into a prime (408073243537) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6517821 + ... + 6580131.

It is an arithmetic number, because the mean of its divisors is an integer number (5574805392).

Almost surely, 2^408073243536 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 408073243536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668976647040).

408073243536 is an abundant number, since it is smaller than the sum of its proper divisors (929880050544).

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

408073243536 is a wasteful number, since it uses less digits than its factorization.

408073243536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62494 (or 62485 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 408073243536 in words is "four hundred eight billion, seventy-three million, two hundred forty-three thousand, five hundred thirty-six".