201987105840 has 640 divisors, whose sum is σ = 787449600000. Its totient is φ = 47216480256.

The previous prime is 201987105839. The next prime is 201987105877. The reversal of 201987105840 is 48501789102.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96229111 + ... + 96231209.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390000).

Almost surely, 2^201987105840 is an apocalyptic number.

201987105840 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 201987105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393724800000).

201987105840 is an abundant number, since it is smaller than the sum of its proper divisors (585462494160).

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

201987105840 is a wasteful number, since it uses less digits than its factorization.

201987105840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 201987105840 in words is "two hundred one billion, nine hundred eighty-seven million, one hundred five thousand, eight hundred forty".