14142540240 has 120 divisors (see below), whose sum is σ = 47520895968. Its totient is φ = 3769317120.

The previous prime is 14142540239. The next prime is 14142540259. The reversal of 14142540240 is 4204524141.

14142540240 is a `hidden beast` number, since 1 + 41 + 42 + 540 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×14142540240² (a number of 21 digits) contains 22 as substring.

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, 1731847 + ... + 1739993.

Almost surely, 2^14142540240 is an apocalyptic number.

14142540240 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 14142540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23760447984).

14142540240 is an abundant number, since it is smaller than the sum of its proper divisors (33378355728).

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

14142540240 is a wasteful number, since it uses less digits than its factorization.

14142540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10577 (or 10568 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 14142540240 in words is "fourteen billion, one hundred forty-two million, five hundred forty thousand, two hundred forty".