102004342440 has 1024 divisors, whose sum is σ = 430230528000. Its totient is φ = 18665717760.

The previous prime is 102004342439. The next prime is 102004342481. The reversal of 102004342440 is 44243400201.

It is a happy number.

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 102004342440.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 262221766 + ... + 262222154.

It is an arithmetic number, because the mean of its divisors is an integer number (420147000).

Almost surely, 2^102004342440 is an apocalyptic number.

102004342440 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 102004342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215115264000).

102004342440 is an abundant number, since it is smaller than the sum of its proper divisors (328226185560).

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

102004342440 is a wasteful number, since it uses less digits than its factorization.

102004342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 102004342440 its reverse (44243400201), we get a palindrome (146247742641).

It can be divided in two parts, 102004 and 342440, that added together give a palindrome (444444).

The spelling of 102004342440 in words is "one hundred two billion, four million, three hundred forty-two thousand, four hundred forty".