201001000440000 has 280 divisors, whose sum is σ = 685993517406208. Its totient is φ = 51871224960000.

The previous prime is 201001000439963. The next prime is 201001000440067. The reversal of 201001000440000 is 44000100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23296264 + ... + 30736263.

Almost surely, 2^{201001000440000} is an apocalyptic number.

201001000440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001000440000 is an abundant number, since it is smaller than the sum of its proper divisors (484992516966208).

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

201001000440000 is an equidigital number, since it uses as much as digits as its factorization.

201001000440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54032593 (or 54032568 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 201001000440000 its reverse (44000100102), we get a palindrome (201045000540102).

The spelling of 201001000440000 in words is "two hundred one trillion, one billion, four hundred forty thousand".