1261036090944 has 1512 divisors, whose sum is σ = 4834971727040. Its totient is φ = 306714304512.

The previous prime is 1261036090943. The next prime is 1261036090987. The reversal of 1261036090944 is 4490906301621.

1261036090944 is a `hidden beast` number, since 1 + 26 + 10 + 3 + 609 + 0 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×1261036090944² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1261036090944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1261036090943) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 34082056494 + ... + 34082056530.

Almost surely, 2^{1261036090944} is an apocalyptic number.

1261036090944 is a gapful number since it is divisible by the number (14) 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 1261036090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417485863520).

1261036090944 is an abundant number, since it is smaller than the sum of its proper divisors (3573935636096).

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

1261036090944 is a wasteful number, since it uses less digits than its factorization.

1261036090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1261036090944 in words is "one trillion, two hundred sixty-one billion, thirty-six million, ninety thousand, nine hundred forty-four".