413136851820 has 768 divisors, whose sum is σ = 1558890676224. Its totient is φ = 79252992000.

The previous prime is 413136851797. The next prime is 413136851833. The reversal of 413136851820 is 28158631314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 280853685 + ... + 280855155.

It is an arithmetic number, because the mean of its divisors is an integer number (2029805568).

Almost surely, 2^413136851820 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 413136851820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779445338112).

413136851820 is an abundant number, since it is smaller than the sum of its proper divisors (1145753824404).

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

413136851820 is a wasteful number, since it uses less digits than its factorization.

413136851820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 413136851820 in words is "four hundred thirteen billion, one hundred thirty-six million, eight hundred fifty-one thousand, eight hundred twenty".