11033341001040 has 320 divisors, whose sum is σ = 35900077676544. Its totient is φ = 2799498240000.

The previous prime is 11033341000991. The next prime is 11033341001063. The reversal of 11033341001040 is 4010014333011.

11033341001040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11033341001040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11033341000998 and 11033341001016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2097192010 + ... + 2097197270.

Almost surely, 2^{11033341001040} is an apocalyptic number.

11033341001040 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 11033341001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950038838272).

11033341001040 is an abundant number, since it is smaller than the sum of its proper divisors (24866736675504).

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

11033341001040 is a wasteful number, since it uses less digits than its factorization.

11033341001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9990 (or 9984 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11033341001040 its reverse (4010014333011), we get a palindrome (15043355334051).

The spelling of 11033341001040 in words is "eleven trillion, thirty-three billion, three hundred forty-one million, one thousand, forty".