10400437334 has 16 divisors (see below), whose sum is σ = 17831482368. Its totient is φ = 4456789992.

The previous prime is 10400437283. The next prime is 10400437363. The reversal of 10400437334 is 43373400401.

10400437334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10400437334² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10400437297 and 10400437306.

It is a congruent number.

It is an unprimeable number.

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, 88187 + ... + 169049.

It is an arithmetic number, because the mean of its divisors is an integer number (1114467648).

Almost surely, 2^10400437334 is an apocalyptic number.

10400437334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10400437334 is a deficient number, since it is larger than the sum of its proper divisors (7431045034).

10400437334 is an equidigital number, since it uses as much as digits as its factorization.

10400437334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90059.

The product of its (nonzero) digits is 12096, while the sum is 29.

Adding to 10400437334 its reverse (43373400401), we get a palindrome (53773837735).

The spelling of 10400437334 in words is "ten billion, four hundred million, four hundred thirty-seven thousand, three hundred thirty-four".