1020414440 has 64 divisors (see below), whose sum is σ = 2367230400. Its totient is φ = 395684352.

The previous prime is 1020414427. The next prime is 1020414463. The reversal of 1020414440 is 444140201.

It is a happy number.

1020414440 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169319 + ... + 175241.

It is an arithmetic number, because the mean of its divisors is an integer number (36987975).

Almost surely, 2^1020414440 is an apocalyptic number.

1020414440 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 1020414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183615200).

1020414440 is an abundant number, since it is smaller than the sum of its proper divisors (1346815960).

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

1020414440 is a wasteful number, since it uses less digits than its factorization.

1020414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6066 (or 6062 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1020414440 is about 31943.9264962841. The cubic root of 1020414440 is about 1006.7590259738.

Adding to 1020414440 its reverse (444140201), we get a palindrome (1464554641).

The spelling of 1020414440 in words is "one billion, twenty million, four hundred fourteen thousand, four hundred forty".