4294477025344 has 63 divisors (see below), whose sum is σ = 9367393061341. Its totient is φ = 1951952119040.

The previous prime is 4294477025317. The next prime is 4294477025369. The reversal of 4294477025344 is 4435207744924.

It is a happy number.

The square root of 4294477025344 is 2072312.

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

It can be written as a sum of positive squares in only one way, i.e., 3281914944 + 4291195110400 = 57288^2 + 2071520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 182351682 + ... + 182375230.

Almost surely, 2^{4294477025344} is an apocalyptic number.

4294477025344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4294477025344 is the 2072312-nd square number.

It is an amenable number.

4294477025344 is an abundant number, since it is smaller than the sum of its proper divisors (5072916035997).

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

4294477025344 is an frugal number, since it uses more digits than its factorization.

4294477025344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47132 (or 23562 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 55.

The spelling of 4294477025344 in words is "four trillion, two hundred ninety-four billion, four hundred seventy-seven million, twenty-five thousand, three hundred forty-four".