10400114240 has 112 divisors (see below), whose sum is σ = 25921703808. Its totient is φ = 3966910464.

The previous prime is 10400114233. The next prime is 10400114321. The reversal of 10400114240 is 4241100401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2596079 + ... + 2600081.

It is an arithmetic number, because the mean of its divisors is an integer number (231443784).

Almost surely, 2^10400114240 is an apocalyptic number.

10400114240 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 10400114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960851904).

10400114240 is an abundant number, since it is smaller than the sum of its proper divisors (15521589568).

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

10400114240 is a wasteful number, since it uses less digits than its factorization.

10400114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10400114240 its reverse (4241100401), we get a palindrome (14641214641).

The spelling of 10400114240 in words is "ten billion, four hundred million, one hundred fourteen thousand, two hundred forty".