1145556511040 has 168 divisors, whose sum is σ = 2991241070592. Its totient is φ = 417355407360.

The previous prime is 1145556511039. The next prime is 1145556511061. The reversal of 1145556511040 is 401156555411.

It is a super-2 number, since 2×1145556511040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145556510985 and 1145556511003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2667089 + ... + 3066671.

Almost surely, 2^{1145556511040} is an apocalyptic number.

1145556511040 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 1145556511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495620535296).

1145556511040 is an abundant number, since it is smaller than the sum of its proper divisors (1845684559552).

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

1145556511040 is a wasteful number, since it uses less digits than its factorization.

1145556511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399665 (or 399638 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 38.

The spelling of 1145556511040 in words is "one trillion, one hundred forty-five billion, five hundred fifty-six million, five hundred eleven thousand, forty".