201214024040 has 64 divisors (see below), whose sum is σ = 457179402960. Its totient is φ = 79696261120.

The previous prime is 201214024027. The next prime is 201214024057. The reversal of 201214024040 is 40420412102.

201214024040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 44909238724 + 156304785316 = 211918^2 + 395354^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4774742 + ... + 4816698.

Almost surely, 2^201214024040 is an apocalyptic number.

201214024040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201214024040 is an abundant number, since it is smaller than the sum of its proper divisors (255965378920).

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

201214024040 is a wasteful number, since it uses less digits than its factorization.

201214024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43142 (or 43138 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 201214024040 its reverse (40420412102), we get a palindrome (241634436142).

The spelling of 201214024040 in words is "two hundred one billion, two hundred fourteen million, twenty-four thousand, forty".