201402241440 has 48 divisors (see below), whose sum is σ = 634417062048. Its totient is φ = 53707264256.

The previous prime is 201402241387. The next prime is 201402241459. The reversal of 201402241440 is 44142204102.

201402241440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 201402241440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209793522 + ... + 209794481.

It is an arithmetic number, because the mean of its divisors is an integer number (13217022126).

Almost surely, 2^201402241440 is an apocalyptic number.

201402241440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201402241440 is an abundant number, since it is smaller than the sum of its proper divisors (433014820608).

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

201402241440 is a wasteful number, since it uses less digits than its factorization.

201402241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419588021 (or 419588013 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 201402241440 its reverse (44142204102), we get a palindrome (245544445542).

The spelling of 201402241440 in words is "two hundred one billion, four hundred two million, two hundred forty-one thousand, four hundred forty".