1126092281040 has 400 divisors, whose sum is σ = 3972826097856. Its totient is φ = 295577856000.

The previous prime is 1126092281023. The next prime is 1126092281053. The reversal of 1126092281040 is 401822906211.

1126092281040 is a `hidden beast` number, since 1 + 1 + 2 + 609 + 2 + 2 + 8 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1126092280986 and 1126092281004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 151129315 + ... + 151136765.

Almost surely, 2^{1126092281040} is an apocalyptic number.

1126092281040 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 1126092281040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986413048928).

1126092281040 is an abundant number, since it is smaller than the sum of its proper divisors (2846733816816).

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

1126092281040 is a wasteful number, since it uses less digits than its factorization.

1126092281040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7840 (or 7825 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 1126092281040 in words is "one trillion, one hundred twenty-six billion, ninety-two million, two hundred eighty-one thousand, forty".