201677375040 has 112 divisors (see below), whose sum is σ = 641641990272. Its totient is φ = 53670076416.

The previous prime is 201677375033. The next prime is 201677375041. The reversal of 201677375040 is 40573776102.

It is a junction number, because it is equal to n+sod(n) for n = 201677374983 and 201677375001.

It is not an unprimeable number, because it can be changed into a prime (201677375041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 251832 + ... + 683208.

Almost surely, 2^201677375040 is an apocalyptic number.

201677375040 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 201677375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320820995136).

201677375040 is an abundant number, since it is smaller than the sum of its proper divisors (439964615232).

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

201677375040 is a wasteful number, since it uses less digits than its factorization.

201677375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431884 (or 431874 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 201677375040 in words is "two hundred one billion, six hundred seventy-seven million, three hundred seventy-five thousand, forty".