201024040000 has 280 divisors, whose sum is σ = 571602778560. Its totient is φ = 68690688000.

The previous prime is 201024039971. The next prime is 201024040013. The reversal of 201024040000 is 40420102.

It is a tau number, because it is divible by the number of its divisors (280).

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, 97158966 + ... + 97161034.

Almost surely, 2^201024040000 is an apocalyptic number.

201024040000 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 201024040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285801389280).

201024040000 is an abundant number, since it is smaller than the sum of its proper divisors (370578738560).

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

201024040000 is an equidigital number, since it uses as much as digits as its factorization.

201024040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 201024040000 its reverse (40420102), we get a palindrome (201064460102).

The spelling of 201024040000 in words is "two hundred one billion, twenty-four million, forty thousand".