11400201432240 has 40 divisors (see below), whose sum is σ = 35340624440688. Its totient is φ = 3040053715200.

The previous prime is 11400201432239. The next prime is 11400201432241. The reversal of 11400201432240 is 4223410200411.

11400201432240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11400201432239) and next prime (11400201432241).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11400201432240² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11400201432240.

It is not an unprimeable number, because it can be changed into a prime (11400201432241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23750419411 + ... + 23750419890.

Almost surely, 2^{11400201432240} is an apocalyptic number.

11400201432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11400201432240 is an abundant number, since it is smaller than the sum of its proper divisors (23940423008448).

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

11400201432240 is a wasteful number, since it uses less digits than its factorization.

11400201432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47500839317 (or 47500839311 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11400201432240 its reverse (4223410200411), we get a palindrome (15623611632651).

The spelling of 11400201432240 in words is "eleven trillion, four hundred billion, two hundred one million, four hundred thirty-two thousand, two hundred forty".