11401240032 has 432 divisors, whose sum is σ = 42037107840. Its totient is φ = 2901878784.

The previous prime is 11401240027. The next prime is 11401240079. The reversal of 11401240032 is 23004210411.

It is a super-2 number, since 2×11401240032² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11401239987 and 11401240014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5319153 + ... + 5321295.

It is an arithmetic number, because the mean of its divisors is an integer number (97308120).

Almost surely, 2^11401240032 is an apocalyptic number.

11401240032 is a gapful number since it is divisible by the number (12) 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 11401240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018553920).

11401240032 is an abundant number, since it is smaller than the sum of its proper divisors (30635867808).

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

11401240032 is a wasteful number, since it uses less digits than its factorization.

11401240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2215 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11401240032 its reverse (23004210411), we get a palindrome (34405450443).

The spelling of 11401240032 in words is "eleven billion, four hundred one million, two hundred forty thousand, thirty-two".