11431124417640 has 64 divisors (see below), whose sum is σ = 34327361102400. Its totient is φ = 3045278702592.

The previous prime is 11431124417639. The next prime is 11431124417641. The reversal of 11431124417640 is 4671442113411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11431124417639) and next prime (11431124417641).

It is not an unprimeable number, because it can be changed into a prime (11431124417641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47083762 + ... + 47325921.

It is an arithmetic number, because the mean of its divisors is an integer number (536365017225).

Almost surely, 2^{11431124417640} is an apocalyptic number.

11431124417640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11431124417640 is an abundant number, since it is smaller than the sum of its proper divisors (22896236684760).

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

11431124417640 is a wasteful number, since it uses less digits than its factorization.

11431124417640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94410706 (or 94410702 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 11431124417640 in words is "eleven trillion, four hundred thirty-one billion, one hundred twenty-four million, four hundred seventeen thousand, six hundred forty".