4472053286400 has 3600 divisors, whose sum is σ = 20945063961360. Its totient is φ = 936404582400.

The previous prime is 4472053286387. The next prime is 4472053286413. The reversal of 4472053286400 is 46823502744.

It is a happy number.

4472053286400 is a `hidden beast` number, since 4 + 4 + 7 + 205 + 32 + 8 + 6 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4472053286387) and next prime (4472053286413).

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 39575692744 + ... + 39575692856.

Almost surely, 2^{4472053286400} is an apocalyptic number.

4472053286400 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 4472053286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472531980680).

4472053286400 is an abundant number, since it is smaller than the sum of its proper divisors (16473010674960).

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

4472053286400 is a wasteful number, since it uses less digits than its factorization.

4472053286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 4472053286400 in words is "four trillion, four hundred seventy-two billion, fifty-three million, two hundred eighty-six thousand, four hundred".