208122076631040 has 1248 divisors, whose sum is σ = 822534474504960. Its totient is φ = 44547393454080.

The previous prime is 208122076631023. The next prime is 208122076631059. The reversal of 208122076631040 is 40136670221802.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a junction number, because it is equal to n+sod(n) for n = 208122076630983 and 208122076631001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2222790946 + ... + 2222884574.

Almost surely, 2^{208122076631040} is an apocalyptic number.

208122076631040 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 208122076631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411267237252480).

208122076631040 is an abundant number, since it is smaller than the sum of its proper divisors (614412397873920).

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

208122076631040 is a wasteful number, since it uses less digits than its factorization.

208122076631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93719 (or 93686 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 208122076631040 in words is "two hundred eight trillion, one hundred twenty-two billion, seventy-six million, six hundred thirty-one thousand, forty".