4247638560400 has 45 divisors (see below), whose sum is σ = 10205050672411. Its totient is φ = 1699038936320.

The previous prime is 4247638560371. The next prime is 4247638560409. The reversal of 4247638560400 is 40658367424.

The square root of 4247638560400 is 2060980.

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

It can be written as a sum of positive squares in 4 ways, for example, as 580199077264 + 3667439483136 = 761708^2 + 1915056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4247638560409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41168076 + ... + 41271124.

Almost surely, 2^{4247638560400} is an apocalyptic number.

4247638560400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4247638560400 is the 2060980-th square number.

It is an amenable number.

4247638560400 is an abundant number, since it is smaller than the sum of its proper divisors (5957412112011).

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

4247638560400 is an frugal number, since it uses more digits than its factorization.

4247638560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206116 (or 103056 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

Multiplying 4247638560400 by its sum of digits (49), we get a square (208134289459600 = 14426860²).

The spelling of 4247638560400 in words is "four trillion, two hundred forty-seven billion, six hundred thirty-eight million, five hundred sixty thousand, four hundred".