201632387040 has 576 divisors, whose sum is σ = 810052379136. Its totient is φ = 44713783296.

The previous prime is 201632387023. The next prime is 201632387087. The reversal of 201632387040 is 40783236102.

It is a happy number.

201632387040 is a `hidden beast` number, since 201 + 6 + 32 + 387 + 0 + 40 = 666.

201632387040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 201632386986 and 201632387004.

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, 68048599 + ... + 68051561.

It is an arithmetic number, because the mean of its divisors is an integer number (1406340936).

Almost surely, 2^201632387040 is an apocalyptic number.

201632387040 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 201632387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405026189568).

201632387040 is an abundant number, since it is smaller than the sum of its proper divisors (608419992096).

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

201632387040 is a wasteful number, since it uses less digits than its factorization.

201632387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3180 counting only the distinct ones).

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

The spelling of 201632387040 in words is "two hundred one billion, six hundred thirty-two million, three hundred eighty-seven thousand, forty".