405003142400 has 108 divisors (see below), whose sum is σ = 1037013639900. Its totient is φ = 156414935040.

The previous prime is 405003142391. The next prime is 405003142409. The reversal of 405003142400 is 4241300504.

It is an interprime number because it is at equal distance from previous prime (405003142391) and next prime (405003142409).

It can be written as a sum of positive squares in 6 ways, for example, as 4182467584 + 400820674816 = 64672^2 + 633104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405003142409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905465 + ... + 1276664.

Almost surely, 2^405003142400 is an apocalyptic number.

405003142400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405003142400 is an abundant number, since it is smaller than the sum of its proper divisors (632010497500).

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

405003142400 is a wasteful number, since it uses less digits than its factorization.

405003142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182184 (or 2182165 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 405003142400 its reverse (4241300504), we get a palindrome (409244442904).

The spelling of 405003142400 in words is "four hundred five billion, three million, one hundred forty-two thousand, four hundred".