413378677872 has 360 divisors, whose sum is σ = 1275791156640. Its totient is φ = 124775669760.

The previous prime is 413378677853. The next prime is 413378677883. The reversal of 413378677872 is 278776873314.

413378677872 is a `hidden beast` number, since 413 + 3 + 7 + 86 + 7 + 78 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 556363933 + ... + 556364675.

It is an arithmetic number, because the mean of its divisors is an integer number (3543864324).

Almost surely, 2^413378677872 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 413378677872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637895578320).

413378677872 is an abundant number, since it is smaller than the sum of its proper divisors (862412478768).

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

413378677872 is a wasteful number, since it uses less digits than its factorization.

413378677872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1255 counting only the distinct ones).

The product of its digits is 66382848, while the sum is 63.

The spelling of 413378677872 in words is "four hundred thirteen billion, three hundred seventy-eight million, six hundred seventy-seven thousand, eight hundred seventy-two".