1101024414240 has 96 divisors (see below), whose sum is σ = 3468450585600. Its totient is φ = 293587574784.

The previous prime is 1101024414233. The next prime is 1101024414241. The reversal of 1101024414240 is 424144201011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1101024414240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1101024414240.

It is not an unprimeable number, because it can be changed into a prime (1101024414241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8382352 + ... + 8512688.

It is an arithmetic number, because the mean of its divisors is an integer number (36129693600).

Almost surely, 2^{1101024414240} is an apocalyptic number.

1101024414240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101024414240 is an abundant number, since it is smaller than the sum of its proper divisors (2367426171360).

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

1101024414240 is a wasteful number, since it uses less digits than its factorization.

1101024414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147954 (or 147946 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1101024414240 its reverse (424144201011), we get a palindrome (1525168615251).

The spelling of 1101024414240 in words is "one trillion, one hundred one billion, twenty-four million, four hundred fourteen thousand, two hundred forty".