210116464040 has 128 divisors (see below), whose sum is σ = 542945894400. Its totient is φ = 71687911680.

The previous prime is 210116464037. The next prime is 210116464049. The reversal of 210116464040 is 40464611012.

It is a super-2 number, since 2×210116464040² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210116463994 and 210116464012.

It is not an unprimeable number, because it can be changed into a prime (210116464049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63305501 + ... + 63308819.

It is an arithmetic number, because the mean of its divisors is an integer number (4241764800).

Almost surely, 2^210116464040 is an apocalyptic number.

210116464040 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 210116464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271472947200).

210116464040 is an abundant number, since it is smaller than the sum of its proper divisors (332829430360).

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

210116464040 is a wasteful number, since it uses less digits than its factorization.

210116464040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4375 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 210116464040 in words is "two hundred ten billion, one hundred sixteen million, four hundred sixty-four thousand, forty".