10400333153 has 16 divisors (see below), whose sum is σ = 12357532800. Its totient is φ = 8746356528.

The previous prime is 10400333089. The next prime is 10400333171. The reversal of 10400333153 is 35133300401.

It is a happy number.

It is not a de Polignac number, because 10400333153 - 2⁶ = 10400333089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400336153) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 267875 + ... + 304232.

It is an arithmetic number, because the mean of its divisors is an integer number (772345800).

Almost surely, 2^10400333153 is an apocalyptic number.

It is an amenable number.

10400333153 is a deficient number, since it is larger than the sum of its proper divisors (1957199647).

10400333153 is an frugal number, since it uses more digits than its factorization.

10400333153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572181 (or 572167 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 10400333153 its reverse (35133300401), we get a palindrome (45533633554).

The spelling of 10400333153 in words is "ten billion, four hundred million, three hundred thirty-three thousand, one hundred fifty-three".