10400340000 has 240 divisors, whose sum is σ = 34486185888. Its totient is φ = 2743296000.

The previous prime is 10400339927. The next prime is 10400340029. The reversal of 10400340000 is 4300401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5819107 + ... + 5820893.

Almost surely, 2^10400340000 is an apocalyptic number.

10400340000 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 10400340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243092944).

10400340000 is an abundant number, since it is smaller than the sum of its proper divisors (24085845888).

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

10400340000 is an equidigital number, since it uses as much as digits as its factorization.

10400340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10400340000 its reverse (4300401), we get a palindrome (10404640401).

The spelling of 10400340000 in words is "ten billion, four hundred million, three hundred forty thousand".