1126652105040 has 640 divisors, whose sum is σ = 4486776827904. Its totient is φ = 227100672000.

The previous prime is 1126652105039. The next prime is 1126652105053. The reversal of 1126652105040 is 405012566211.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1126652104992 and 1126652105010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82284595 + ... + 82298285.

Almost surely, 2^{1126652105040} is an apocalyptic number.

1126652105040 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 1126652105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243388413952).

1126652105040 is an abundant number, since it is smaller than the sum of its proper divisors (3360124722864).

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

1126652105040 is a wasteful number, since it uses less digits than its factorization.

1126652105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13859 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 1126652105040 in words is "one trillion, one hundred twenty-six billion, six hundred fifty-two million, one hundred five thousand, forty".