200632098040 has 128 divisors (see below), whose sum is σ = 521789817600. Its totient is φ = 68618004480.

The previous prime is 200632098001. The next prime is 200632098067. The reversal of 200632098040 is 40890236002.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 200632097987 and 200632098005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11802427 + ... + 11819413.

It is an arithmetic number, because the mean of its divisors is an integer number (4076482950).

Almost surely, 2^200632098040 is an apocalyptic number.

200632098040 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 200632098040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260894908800).

200632098040 is an abundant number, since it is smaller than the sum of its proper divisors (321157719560).

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

200632098040 is a wasteful number, since it uses less digits than its factorization.

200632098040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18605 (or 18601 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 200632098040 in words is "two hundred billion, six hundred thirty-two million, ninety-eight thousand, forty".