12633081410040 has 384 divisors, whose sum is σ = 47486201555520. Its totient is φ = 2664990720000.

The previous prime is 12633081410003. The next prime is 12633081410107. The reversal of 12633081410040 is 4001418033621.

It is a super-2 number, since 2×12633081410040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12633081409983 and 12633081410010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 649806720 + ... + 649826160.

Almost surely, 2^{12633081410040} is an apocalyptic number.

12633081410040 is a gapful number since it is divisible by the number (10) 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 12633081410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23743100777760).

12633081410040 is an abundant number, since it is smaller than the sum of its proper divisors (34853120145480).

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

12633081410040 is a wasteful number, since it uses less digits than its factorization.

12633081410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27983 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 12633081410040 its reverse (4001418033621), we get a palindrome (16634499443661).

The spelling of 12633081410040 in words is "twelve trillion, six hundred thirty-three billion, eighty-one million, four hundred ten thousand, forty".