1101413815040 has 864 divisors, whose sum is σ = 3575546634240. Its totient is φ = 320495616000.

The previous prime is 1101413815037. The next prime is 1101413815049. The reversal of 1101413815040 is 405183141011.

It is a super-2 number, since 2×1101413815040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101413814994 and 1101413815012.

It is not an unprimeable number, because it can be changed into a prime (1101413815049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 956918465 + ... + 956919615.

It is an arithmetic number, because the mean of its divisors is an integer number (4138364160).

Almost surely, 2^{1101413815040} is an apocalyptic number.

1101413815040 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 1101413815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787773317120).

1101413815040 is an abundant number, since it is smaller than the sum of its proper divisors (2474132819200).

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

1101413815040 is a wasteful number, since it uses less digits than its factorization.

1101413815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1289 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

Adding to 1101413815040 its reverse (405183141011), we get a palindrome (1506596956051).

The spelling of 1101413815040 in words is "one trillion, one hundred one billion, four hundred thirteen million, eight hundred fifteen thousand, forty".