1101414331240 has 128 divisors (see below), whose sum is σ = 2557941120000. Its totient is φ = 426681335808.

The previous prime is 1101414331183. The next prime is 1101414331273. The reversal of 1101414331240 is 421334141011.

It is a super-2 number, since 2×1101414331240² (a number of 25 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 34620861 + ... + 34652659.

It is an arithmetic number, because the mean of its divisors is an integer number (19983915000).

Almost surely, 2^{1101414331240} is an apocalyptic number.

1101414331240 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 1101414331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278970560000).

1101414331240 is an abundant number, since it is smaller than the sum of its proper divisors (1456526788760).

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

1101414331240 is a wasteful number, since it uses less digits than its factorization.

1101414331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32099 (or 32095 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1101414331240 its reverse (421334141011), we get a palindrome (1522748472251).

The spelling of 1101414331240 in words is "one trillion, one hundred one billion, four hundred fourteen million, three hundred thirty-one thousand, two hundred forty".