10400114010 has 256 divisors, whose sum is σ = 30911569920. Its totient is φ = 2203407360.

The previous prime is 10400113979. The next prime is 10400114047. The reversal of 10400114010 is 1041100401.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10754547 + ... + 10755513.

It is an arithmetic number, because the mean of its divisors is an integer number (120748320).

Almost surely, 2^10400114010 is an apocalyptic number.

10400114010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10400114010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15455784960).

10400114010 is an abundant number, since it is smaller than the sum of its proper divisors (20511455910).

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

10400114010 is a wasteful number, since it uses less digits than its factorization.

10400114010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10400114010 its reverse (1041100401), we get a palindrome (11441214411).

The spelling of 10400114010 in words is "ten billion, four hundred million, one hundred fourteen thousand, ten".