12431011153440 has 96 divisors (see below), whose sum is σ = 42717474709056. Its totient is φ = 3013578460160.

The previous prime is 12431011153427. The next prime is 12431011153453. The reversal of 12431011153440 is 4435111013421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12431011153427) and next prime (12431011153453).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12431011153398 and 12431011153407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177173807 + ... + 1177184366.

It is an arithmetic number, because the mean of its divisors is an integer number (444973694886).

Almost surely, 2^{12431011153440} is an apocalyptic number.

12431011153440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12431011153440 is an abundant number, since it is smaller than the sum of its proper divisors (30286463555616).

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

12431011153440 is a wasteful number, since it uses less digits than its factorization.

12431011153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354358202 (or 2354358194 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 12431011153440 its reverse (4435111013421), we get a palindrome (16866122166861).

The spelling of 12431011153440 in words is "twelve trillion, four hundred thirty-one billion, eleven million, one hundred fifty-three thousand, four hundred forty".