408542747120200 has 384 divisors, whose sum is σ = 1223098059571200. Its totient is φ = 123164468352000.

The previous prime is 408542747120063. The next prime is 408542747120201. The reversal of 408542747120200 is 2021747245804.

It is not an unprimeable number, because it can be changed into a prime (408542747120201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 896806882 + ... + 897262318.

It is an arithmetic number, because the mean of its divisors is an integer number (3185151196800).

Almost surely, 2^{408542747120200} is an apocalyptic number.

408542747120200 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 408542747120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611549029785600).

408542747120200 is an abundant number, since it is smaller than the sum of its proper divisors (814555312451000).

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

408542747120200 is a wasteful number, since it uses less digits than its factorization.

408542747120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457381 (or 457372 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 46.

The spelling of 408542747120200 in words is "four hundred eight trillion, five hundred forty-two billion, seven hundred forty-seven million, one hundred twenty thousand, two hundred".