1014420440 has 96 divisors (see below), whose sum is σ = 2590116480. Its totient is φ = 356928000.

The previous prime is 1014420437. The next prime is 1014420503. The reversal of 1014420440 is 440244101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146660 + ... + 153420.

It is an arithmetic number, because the mean of its divisors is an integer number (26980380).

Almost surely, 2^1014420440 is an apocalyptic number.

1014420440 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 1014420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295058240).

1014420440 is an abundant number, since it is smaller than the sum of its proper divisors (1575696040).

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

1014420440 is a wasteful number, since it uses less digits than its factorization.

1014420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6810 counting only the distinct ones).

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

The square root of 1014420440 is about 31849.9676608941. The cubic root of 1014420440 is about 1004.7838912240.

Adding to 1014420440 its reverse (440244101), we get a palindrome (1454664541).

The spelling of 1014420440 in words is "one billion, fourteen million, four hundred twenty thousand, four hundred forty".