4009685856400 has 135 divisors (see below), whose sum is σ = 11206832619801. Its totient is φ = 1374653320320.

The previous prime is 4009685856389. The next prime is 4009685856437. The reversal of 4009685856400 is 46585869004.

The square root of 4009685856400 is 2002420.

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., 1443486908304 + 2566198948096 = 1201452^2 + 1601936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280331649 + ... + 280345951.

Almost surely, 2^{4009685856400} is an apocalyptic number.

4009685856400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4009685856400 is the 2002420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009685856400

4009685856400 is an abundant number, since it is smaller than the sum of its proper divisors (7197146763401).

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

4009685856400 is an frugal number, since it uses more digits than its factorization.

4009685856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28638 (or 14317 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 4009685856400 in words is "four trillion, nine billion, six hundred eighty-five million, eight hundred fifty-six thousand, four hundred".