102414041432240 has 80 divisors (see below), whose sum is σ = 250653349346400. Its totient is φ = 38808221792256.

The previous prime is 102414041432237. The next prime is 102414041432279. The reversal of 102414041432240 is 42234140414201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102414041432240² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102414041432197 and 102414041432206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44522204 + ... + 46765956.

It is an arithmetic number, because the mean of its divisors is an integer number (3133166866830).

Almost surely, 2^{102414041432240} is an apocalyptic number.

102414041432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102414041432240 is an abundant number, since it is smaller than the sum of its proper divisors (148239307914160).

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

102414041432240 is a wasteful number, since it uses less digits than its factorization.

102414041432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273814 (or 2273808 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 102414041432240 its reverse (42234140414201), we get a palindrome (144648181846441).

The spelling of 102414041432240 in words is "one hundred two trillion, four hundred fourteen billion, forty-one million, four hundred thirty-two thousand, two hundred forty".