1014413120 has 168 divisors, whose sum is σ = 2934468096. Its totient is φ = 327131136.

The previous prime is 1014413119. The next prime is 1014413123. The reversal of 1014413120 is 213144101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014413123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646577 + ... + 648143.

It is an arithmetic number, because the mean of its divisors is an integer number (17467072).

Almost surely, 2^1014413120 is an apocalyptic number.

1014413120 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 1014413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467234048).

1014413120 is an abundant number, since it is smaller than the sum of its proper divisors (1920054976).

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

1014413120 is a wasteful number, since it uses less digits than its factorization.

1014413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1014413120 is about 31849.8527469123. The cubic root of 1014413120 is about 1004.7814743971.

Adding to 1014413120 its reverse (213144101), we get a palindrome (1227557221).

The spelling of 1014413120 in words is "one billion, fourteen million, four hundred thirteen thousand, one hundred twenty".