10400134000 has 80 divisors (see below), whose sum is σ = 25560078336. Its totient is φ = 4091808000.

The previous prime is 10400133973. The next prime is 10400134021. The reversal of 10400134000 is 43100401.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 79377 + ... + 164623.

Almost surely, 2^10400134000 is an apocalyptic number.

10400134000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12780039168).

10400134000 is an abundant number, since it is smaller than the sum of its proper divisors (15159944336).

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

10400134000 is an equidigital number, since it uses as much as digits as its factorization.

10400134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85331 (or 85315 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10400134000 its reverse (43100401), we get a palindrome (10443234401).

It can be divided in two parts, 10400 and 134000, that added together give a square (144400 = 380²).

The spelling of 10400134000 in words is "ten billion, four hundred million, one hundred thirty-four thousand".