1126958495040 has 2688 divisors, whose sum is σ = 5112446976000. Its totient is φ = 235564277760.

The previous prime is 1126958495029. The next prime is 1126958495053. The reversal of 1126958495040 is 405948596211.

1126958495040 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 9 + 584 + 9 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23977840297 + ... + 23977840343.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952000).

Almost surely, 2^{1126958495040} is an apocalyptic number.

1126958495040 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 1126958495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556223488000).

1126958495040 is an abundant number, since it is smaller than the sum of its proper divisors (3985488480960).

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

1126958495040 is an equidigital number, since it uses as much as digits as its factorization.

1126958495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1126958495040 in words is "one trillion, one hundred twenty-six billion, nine hundred fifty-eight million, four hundred ninety-five thousand, forty".