413021401400 has 48 divisors (see below), whose sum is σ = 964825922040. Its totient is φ = 164425564800.

The previous prime is 413021401361. The next prime is 413021401477. The reversal of 413021401400 is 4104120314.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4851419 + ... + 4935818.

Almost surely, 2^413021401400 is an apocalyptic number.

413021401400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413021401400 is an abundant number, since it is smaller than the sum of its proper divisors (551804520640).

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

413021401400 is a wasteful number, since it uses less digits than its factorization.

413021401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9787464 (or 9787455 counting only the distinct ones).

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

Adding to 413021401400 its reverse (4104120314), we get a palindrome (417125521714).

The spelling of 413021401400 in words is "four hundred thirteen billion, twenty-one million, four hundred one thousand, four hundred".