201894280040 has 64 divisors (see below), whose sum is σ = 481712164560. Its totient is φ = 75892101120.

The previous prime is 201894279949. The next prime is 201894280099. The reversal of 201894280040 is 40082498102.

201894280040 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 183627676324 + 18266603716 = 428518^2 + 135154^2 .

It is a super-2 number, since 2×201894280040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201894279976 and 201894280003.

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, 224894 + ... + 674066.

Almost surely, 2^201894280040 is an apocalyptic number.

201894280040 is a gapful number since it is divisible by the number (20) 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 201894280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240856082280).

201894280040 is an abundant number, since it is smaller than the sum of its proper divisors (279817884520).

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

201894280040 is a wasteful number, since it uses less digits than its factorization.

201894280040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449862 (or 449858 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 38.

The spelling of 201894280040 in words is "two hundred one billion, eight hundred ninety-four million, two hundred eighty thousand, forty".