102414042240 has 64 divisors (see below), whose sum is σ = 326444765760. Its totient is φ = 27310410752.

The previous prime is 102414042239. The next prime is 102414042251. The reversal of 102414042240 is 42240414201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×102414042240³ (a number of 34 digits) contains 333 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 102414042240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26668404 + ... + 26672243.

It is an arithmetic number, because the mean of its divisors is an integer number (5100699465).

Almost surely, 2^102414042240 is an apocalyptic number.

102414042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414042240 is an abundant number, since it is smaller than the sum of its proper divisors (224030723520).

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

102414042240 is an equidigital number, since it uses as much as digits as its factorization.

102414042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53340669 (or 53340657 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 102414042240 its reverse (42240414201), we get a palindrome (144654456441).

The spelling of 102414042240 in words is "one hundred two billion, four hundred fourteen million, forty-two thousand, two hundred forty".