945304214400 has 2688 divisors, whose sum is σ = 4439800626240. Its totient is φ = 193491763200.

The previous prime is 945304214347. The next prime is 945304214423. The reversal of 945304214400 is 4412403549.

945304214400 is a `hidden beast` number, since 9 + 4 + 5 + 30 + 4 + 214 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 12949372764 + ... + 12949372836.

Almost surely, 2^945304214400 is an apocalyptic number.

945304214400 is a gapful number since it is divisible by the number (90) 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 945304214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2219900313120).

945304214400 is an abundant number, since it is smaller than the sum of its proper divisors (3494496411840).

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

945304214400 is a wasteful number, since it uses less digits than its factorization.

945304214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 945304214400 its reverse (4412403549), we get a palindrome (949716617949).

The spelling of 945304214400 in words is "nine hundred forty-five billion, three hundred four million, two hundred fourteen thousand, four hundred".