210004898040 has 384 divisors, whose sum is σ = 800829020160. Its totient is φ = 46731313152.

The previous prime is 210004898029. The next prime is 210004898107. The reversal of 210004898040 is 40898400012.

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 = 210004897986 and 210004898004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22854327 + ... + 22863513.

It is an arithmetic number, because the mean of its divisors is an integer number (2085492240).

Almost surely, 2^210004898040 is an apocalyptic number.

210004898040 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 210004898040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400414510080).

210004898040 is an abundant number, since it is smaller than the sum of its proper divisors (590824122120).

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

210004898040 is a wasteful number, since it uses less digits than its factorization.

210004898040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9451 (or 9444 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 210004898040 in words is "two hundred ten billion, four million, eight hundred ninety-eight thousand, forty".