408203393800848 has 80 divisors (see below), whose sum is σ = 1071958955491776. Its totient is φ = 133818919902720.

The previous prime is 408203393800841. The next prime is 408203393800877. The reversal of 408203393800848 is 848008393302804.

It is a super-3 number, since 3×408203393800848³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 408203393800791 and 408203393800800.

It is not an unprimeable number, because it can be changed into a prime (408203393800841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11965111 + ... + 30976937.

Almost surely, 2^{408203393800848} is an apocalyptic number.

408203393800848 is a gapful number since it is divisible by the number (48) 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 408203393800848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535979477745888).

408203393800848 is an abundant number, since it is smaller than the sum of its proper divisors (663755561690928).

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

408203393800848 is a wasteful number, since it uses less digits than its factorization.

408203393800848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19019232 (or 19019226 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 408203393800848 in words is "four hundred eight trillion, two hundred three billion, three hundred ninety-three million, eight hundred thousand, eight hundred forty-eight".