445343188400 has 120 divisors (see below), whose sum is σ = 1174366663104. Its totient is φ = 160949203200.

The previous prime is 445343188379. The next prime is 445343188421. The reversal of 445343188400 is 4881343544.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (445343188379) and next prime (445343188421).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406727 + ... + 1027673.

Almost surely, 2^445343188400 is an apocalyptic number.

445343188400 is a gapful number since it is divisible by the number (40) 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 445343188400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587183331552).

445343188400 is an abundant number, since it is smaller than the sum of its proper divisors (729023474704).

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

445343188400 is a wasteful number, since it uses less digits than its factorization.

445343188400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621139 (or 621128 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 44.

The spelling of 445343188400 in words is "four hundred forty-five billion, three hundred forty-three million, one hundred eighty-eight thousand, four hundred".