102404010240 has 648 divisors, whose sum is σ = 427481832960. Its totient is φ = 23403147264.

The previous prime is 102404010217. The next prime is 102404010259. The reversal of 102404010240 is 42010404201.

102404010240 is a `hidden beast` number, since 1 + 0 + 24 + 0 + 401 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15237601 + ... + 15244319.

Almost surely, 2^102404010240 is an apocalyptic number.

102404010240 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 102404010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213740916480).

102404010240 is an abundant number, since it is smaller than the sum of its proper divisors (325077822720).

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

102404010240 is an frugal number, since it uses more digits than its factorization.

102404010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6769 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102404010240 its reverse (42010404201), we get a palindrome (144414414441).

The spelling of 102404010240 in words is "one hundred two billion, four hundred four million, ten thousand, two hundred forty".