201402937440 has 144 divisors (see below), whose sum is σ = 693370274688. Its totient is φ = 53232119808.

The previous prime is 201402937423. The next prime is 201402937487. The reversal of 201402937440 is 44739204102.

201402937440 is a `hidden beast` number, since 20 + 140 + 29 + 37 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 201402937395 and 201402937404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456144 + ... + 781583.

It is an arithmetic number, because the mean of its divisors is an integer number (4815071352).

Almost surely, 2^201402937440 is an apocalyptic number.

201402937440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201402937440 is an abundant number, since it is smaller than the sum of its proper divisors (491967337248).

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

201402937440 is a wasteful number, since it uses less digits than its factorization.

201402937440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237861 (or 1237850 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 201402937440 in words is "two hundred one billion, four hundred two million, nine hundred thirty-seven thousand, four hundred forty".