400120010003 has 16 divisors (see below), whose sum is σ = 466234591680. Its totient is φ = 336253147776.

The previous prime is 400120009969. The next prime is 400120010011. The reversal of 400120010003 is 300010021004.

It is a happy number.

It is not a de Polignac number, because 400120010003 - 2²⁶ = 400052901139 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400120010033) 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 15 ways as a sum of consecutive naturals, for example, 152801 + ... + 907517.

It is an arithmetic number, because the mean of its divisors is an integer number (29139661980).

Almost surely, 2^400120010003 is an apocalyptic number.

400120010003 is a deficient number, since it is larger than the sum of its proper divisors (66114581677).

400120010003 is a wasteful number, since it uses less digits than its factorization.

400120010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756206.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 400120010003 its reverse (300010021004), we get a palindrome (700130031007).

It can be divided in two parts, 4001200 and 10003, that multiplied together give a square (40024003600 = 200060²).

The spelling of 400120010003 in words is "four hundred billion, one hundred twenty million, ten thousand, three".