413385154020 has 120 divisors (see below), whose sum is σ = 1298193301944. Its totient is φ = 110117988864.

The previous prime is 413385154003. The next prime is 413385154093. The reversal of 413385154020 is 20451583314.

413385154020 is a `hidden beast` number, since 4 + 1 + 33 + 85 + 1 + 540 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14964139584 + 398421014436 = 122328^2 + 631206^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1381774 + ... + 1654106.

Almost surely, 2^413385154020 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 413385154020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649096650972).

413385154020 is an abundant number, since it is smaller than the sum of its proper divisors (884808147924).

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

413385154020 is a wasteful number, since it uses less digits than its factorization.

413385154020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273291 (or 273280 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 413385154020 in words is "four hundred thirteen billion, three hundred eighty-five million, one hundred fifty-four thousand, twenty".