201375383040 has 960 divisors, whose sum is σ = 801124099776. Its totient is φ = 48157949952.

The previous prime is 201375382997. The next prime is 201375383063. The reversal of 201375383040 is 40383573102.

201375383040 is a `hidden beast` number, since 20 + 1 + 37 + 538 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 201375382986 and 201375383004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 299220144 + ... + 299220816.

Almost surely, 2^201375383040 is an apocalyptic number.

201375383040 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 201375383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400562049888).

201375383040 is an abundant number, since it is smaller than the sum of its proper divisors (599748716736).

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

201375383040 is an equidigital number, since it uses as much as digits as its factorization.

201375383040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 201375383040 in words is "two hundred one billion, three hundred seventy-five million, three hundred eighty-three thousand, forty".