1014000240 has 160 divisors (see below), whose sum is σ = 3494347776. Its totient is φ = 241146880.

The previous prime is 1014000199. The next prime is 1014000257. The reversal of 1014000240 is 420004101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136297 + ... + 143543.

Almost surely, 2^1014000240 is an apocalyptic number.

1014000240 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 1014000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747173888).

1014000240 is an abundant number, since it is smaller than the sum of its proper divisors (2480347536).

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

1014000240 is a wasteful number, since it uses less digits than its factorization.

1014000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1014000240 is about 31843.3704246269. The cubic root of 1014000240 is about 1004.6451359687.

Adding to 1014000240 its reverse (420004101), we get a palindrome (1434004341).

It can be divided in two parts, 1014000 and 240, that multiplied together give a square (243360000 = 15600²).

The spelling of 1014000240 in words is "one billion, fourteen million, two hundred forty", and thus it is an aban number.