413021401040 has 40 divisors (see below), whose sum is σ = 976016978088. Its totient is φ = 162500221440.

The previous prime is 413021401007. The next prime is 413021401049. The reversal of 413021401040 is 40104120314.

It can be written as a sum of positive squares in 4 ways, for example, as 9079802944 + 403941598096 = 95288^2 + 635564^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413021401049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42312887 + ... + 42322646.

Almost surely, 2^413021401040 is an apocalyptic number.

413021401040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413021401040 is an abundant number, since it is smaller than the sum of its proper divisors (562995577048).

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

413021401040 is a wasteful number, since it uses less digits than its factorization.

413021401040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84635607 (or 84635601 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 413021401040 its reverse (40104120314), we get a palindrome (453125521354).

The spelling of 413021401040 in words is "four hundred thirteen billion, twenty-one million, four hundred one thousand, forty".