102414433240 has 128 divisors (see below), whose sum is σ = 264524544000. Its totient is φ = 34957536768.

The previous prime is 102414433223. The next prime is 102414433333. The reversal of 102414433240 is 42334414201.

It is a super-2 number, since 2×102414433240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 102414433199 and 102414433208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95803426 + ... + 95804494.

It is an arithmetic number, because the mean of its divisors is an integer number (2066598000).

Almost surely, 2^102414433240 is an apocalyptic number.

102414433240 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 102414433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132262272000).

102414433240 is an abundant number, since it is smaller than the sum of its proper divisors (162110110760).

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

102414433240 is a wasteful number, since it uses less digits than its factorization.

102414433240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 102414433240 its reverse (42334414201), we get a palindrome (144748847441).

The spelling of 102414433240 in words is "one hundred two billion, four hundred fourteen million, four hundred thirty-three thousand, two hundred forty".