210540213374040 has 256 divisors, whose sum is σ = 767276070912000. Its totient is φ = 50928365399040.

The previous prime is 210540213374011. The next prime is 210540213374041. The reversal of 210540213374040 is 40473312045012.

210540213374040 is a `hidden beast` number, since 2 + 1 + 0 + 5 + 4 + 0 + 213 + 37 + 404 + 0 = 666.

210540213374040 is digitally balanced in base 2, 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 = 210540213373986 and 210540213374004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210540213374041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13960600 + ... + 24818919.

It is an arithmetic number, because the mean of its divisors is an integer number (2997172152000).

Almost surely, 2^{210540213374040} is an apocalyptic number.

210540213374040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210540213374040 is an abundant number, since it is smaller than the sum of its proper divisors (556735857537960).

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

210540213374040 is a wasteful number, since it uses less digits than its factorization.

210540213374040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38780007 (or 38779997 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 210540213374040 in words is "two hundred ten trillion, five hundred forty billion, two hundred thirteen million, three hundred seventy-four thousand, forty".