1014402420 has 96 divisors (see below), whose sum is σ = 3191529600. Its totient is φ = 267455232.

The previous prime is 1014402409. The next prime is 1014402449. The reversal of 1014402420 is 242044101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1014402393 and 1014402402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37507 + ... + 58613.

It is an arithmetic number, because the mean of its divisors is an integer number (33245100).

Almost surely, 2^1014402420 is an apocalyptic number.

1014402420 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 1014402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595764800).

1014402420 is an abundant number, since it is smaller than the sum of its proper divisors (2177127180).

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

1014402420 is a wasteful number, since it uses less digits than its factorization.

1014402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21214 (or 21206 counting only the distinct ones).

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

The square root of 1014402420 is about 31849.6847708105. The cubic root of 1014402420 is about 1004.7779415828. Note that the first 3 decimals are identical.

Adding to 1014402420 its reverse (242044101), we get a palindrome (1256446521).

The spelling of 1014402420 in words is "one billion, fourteen million, four hundred two thousand, four hundred twenty".