4473377281296 has 1125 divisors, whose sum is σ = 16755879054453. Its totient is φ = 1151256395520.

The previous prime is 4473377281259. The next prime is 4473377281301. The reversal of 4473377281296 is 6921827733744.

The square root of 4473377281296 is 2115036.

It is a perfect power (a square), and thus also a powerful number.

4473377281296 is a `hidden beast` number, since 4 + 4 + 7 + 337 + 7 + 2 + 8 + 1 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3117922503696 + 1355454777600 = 1765764^2 + 1164240^2 .

It is a super-2 number, since 2×4473377281296² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (85349376) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 41040158490 + ... + 41040158598.

Almost surely, 2^{4473377281296} is an apocalyptic number.

4473377281296 is the 2115036-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4473377281296

4473377281296 is an abundant number, since it is smaller than the sum of its proper divisors (12282501773157).

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

4473377281296 is an equidigital number, since it uses as much as digits as its factorization.

4473377281296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 132 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 4473377281296 in words is "four trillion, four hundred seventy-three billion, three hundred seventy-seven million, two hundred eighty-one thousand, two hundred ninety-six".