11401414626 has 96 divisors (see below), whose sum is σ = 27883640448. Its totient is φ = 3043526400.

The previous prime is 11401414613. The next prime is 11401414631. The reversal of 11401414626 is 62641410411.

It is a junction number, because it is equal to n+sod(n) for n = 11401414593 and 11401414602.

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 47 ways as a sum of consecutive naturals, for example, 1101676 + ... + 1111976.

It is an arithmetic number, because the mean of its divisors is an integer number (290454588).

Almost surely, 2^11401414626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11401414626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941820224).

11401414626 is an abundant number, since it is smaller than the sum of its proper divisors (16482225822).

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

11401414626 is a wasteful number, since it uses less digits than its factorization.

11401414626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424 (or 10405 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 11401414626 in words is "eleven billion, four hundred one million, four hundred fourteen thousand, six hundred twenty-six".