413405152054500 has 192 divisors, whose sum is σ = 1219310606562048. Its totient is φ = 108832988160000.

The previous prime is 413405152054423. The next prime is 413405152054519. The reversal of 413405152054500 is 5450251504314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32474130 + ... + 43374870.

It is an arithmetic number, because the mean of its divisors is an integer number (6350576075844).

Almost surely, 2^{413405152054500} 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 413405152054500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609655303281024).

413405152054500 is an abundant number, since it is smaller than the sum of its proper divisors (805905454507548).

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

413405152054500 is a wasteful number, since it uses less digits than its factorization.

413405152054500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10901087 (or 10901075 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 413405152054500 in words is "four hundred thirteen trillion, four hundred five billion, one hundred fifty-two million, fifty-four thousand, five hundred".