210401645040 has 640 divisors, whose sum is σ = 772510556160. Its totient is φ = 52547788800.

The previous prime is 210401645033. The next prime is 210401645123. The reversal of 210401645040 is 40546104012.

210401645040 is a `hidden beast` number, since 2 + 10 + 4 + 0 + 1 + 645 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 210401644995 and 210401645013.

It is a congruent number.

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, 474947059 + ... + 474947501.

It is an arithmetic number, because the mean of its divisors is an integer number (1207047744).

Almost surely, 2^210401645040 is an apocalyptic number.

210401645040 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 210401645040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386255278080).

210401645040 is an abundant number, since it is smaller than the sum of its proper divisors (562108911120).

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

210401645040 is a wasteful number, since it uses less digits than its factorization.

210401645040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 210401645040 its reverse (40546104012), we get a palindrome (250947749052).

The spelling of 210401645040 in words is "two hundred ten billion, four hundred one million, six hundred forty-five thousand, forty".