413023021040 has 40 divisors (see below), whose sum is σ = 1097461171680. Its totient is φ = 141607892736.

The previous prime is 413023021027. The next prime is 413023021043. The reversal of 413023021040 is 40120320314.

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

It is a super-3 number, since 3×413023021040³ (a number of 36 digits) contains 333 as substring.

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 (413023021043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368769995 + ... + 368771114.

It is an arithmetic number, because the mean of its divisors is an integer number (27436529292).

Almost surely, 2^413023021040 is an apocalyptic number.

413023021040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413023021040 is an abundant number, since it is smaller than the sum of its proper divisors (684438150640).

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

413023021040 is a wasteful number, since it uses less digits than its factorization.

413023021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737541129 (or 737541123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 413023021040 its reverse (40120320314), we get a palindrome (453143341354).

The spelling of 413023021040 in words is "four hundred thirteen billion, twenty-three million, twenty-one thousand, forty".