1002414440440 has 256 divisors, whose sum is σ = 2931552000000. Its totient is φ = 306442192896.

The previous prime is 1002414440437. The next prime is 1002414440449. The reversal of 1002414440440 is 440444142001.

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 = 1002414440399 and 1002414440408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002414440449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4318461 + ... + 4544659.

It is an arithmetic number, because the mean of its divisors is an integer number (11451375000).

Almost surely, 2^{1002414440440} is an apocalyptic number.

1002414440440 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 1002414440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465776000000).

1002414440440 is an abundant number, since it is smaller than the sum of its proper divisors (1929137559560).

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

1002414440440 is a wasteful number, since it uses less digits than its factorization.

1002414440440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226267 (or 226249 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 1002414440440 its reverse (440444142001), we get a palindrome (1442858582441).

The spelling of 1002414440440 in words is "one trillion, two billion, four hundred fourteen million, four hundred forty thousand, four hundred forty".