102311214430040 has 192 divisors, whose sum is σ = 292138154733600. Its totient is φ = 31888094515200.

The previous prime is 102311214429973. The next prime is 102311214430057. The reversal of 102311214430040 is 40034412113201.

It is a junction number, because it is equal to n+sod(n) for n = 102311214429991 and 102311214430009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791640146 + ... + 791769374.

Almost surely, 2^{102311214430040} is an apocalyptic number.

102311214430040 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 102311214430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146069077366800).

102311214430040 is an abundant number, since it is smaller than the sum of its proper divisors (189826940303560).

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

102311214430040 is a wasteful number, since it uses less digits than its factorization.

102311214430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165986 (or 165975 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 102311214430040 its reverse (40034412113201), we get a palindrome (142345626543241).

The spelling of 102311214430040 in words is "one hundred two trillion, three hundred eleven billion, two hundred fourteen million, four hundred thirty thousand, forty".