202199040000 has 480 divisors, whose sum is σ = 730583786790. Its totient is φ = 53870592000.

The previous prime is 202199039953. The next prime is 202199040019. The reversal of 202199040000 is 40991202.

It can be written as a sum of positive squares in 5 ways, for example, as 1327104 + 202197712896 = 1152^2 + 449664^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 184319452 + ... + 184320548.

Almost surely, 2^202199040000 is an apocalyptic number.

202199040000 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 202199040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365291893395).

202199040000 is an abundant number, since it is smaller than the sum of its proper divisors (528384746790).

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

202199040000 is an frugal number, since it uses more digits than its factorization.

202199040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 202199040000 in words is "two hundred two billion, one hundred ninety-nine million, forty thousand".