1014141040 has 80 divisors (see below), whose sum is σ = 2578093920. Its totient is φ = 367938560.

The previous prime is 1014141019. The next prime is 1014141053. The reversal of 1014141040 is 401414101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489126 + ... + 491194.

It is an arithmetic number, because the mean of its divisors is an integer number (32226174).

Almost surely, 2^1014141040 is an apocalyptic number.

1014141040 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 1014141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289046960).

1014141040 is an abundant number, since it is smaller than the sum of its proper divisors (1563952880).

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

1014141040 is a wasteful number, since it uses less digits than its factorization.

1014141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1014141040 is about 31845.5811691355. The cubic root of 1014141040 is about 1004.6916341458.

Adding to 1014141040 its reverse (401414101), we get a palindrome (1415555141).

The spelling of 1014141040 in words is "one billion, fourteen million, one hundred forty-one thousand, forty".