199145960400 has 240 divisors, whose sum is σ = 647243555904. Its totient is φ = 52335575040.

The previous prime is 199145960381. The next prime is 199145960423. The reversal of 199145960400 is 4069541991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×199145960400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 199145960400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25290864 + ... + 25298736.

Almost surely, 2^199145960400 is an apocalyptic number.

199145960400 is a gapful number since it is divisible by the number (10) 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 199145960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323621777952).

199145960400 is an abundant number, since it is smaller than the sum of its proper divisors (448097595504).

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

199145960400 is a wasteful number, since it uses less digits than its factorization.

199145960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8198 (or 8187 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The spelling of 199145960400 in words is "one hundred ninety-nine billion, one hundred forty-five million, nine hundred sixty thousand, four hundred".