4402202400456 has 128 divisors (see below), whose sum is σ = 12768027014400. Its totient is φ = 1238790205440.

The previous prime is 4402202400419. The next prime is 4402202400461. The reversal of 4402202400456 is 6540042022044.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8442036 + ... + 8948316.

It is an arithmetic number, because the mean of its divisors is an integer number (99750211050).

Almost surely, 2^{4402202400456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4402202400456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6384013507200).

4402202400456 is an abundant number, since it is smaller than the sum of its proper divisors (8365824613944).

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

4402202400456 is a wasteful number, since it uses less digits than its factorization.

4402202400456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507079 (or 507075 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 4402202400456 in words is "four trillion, four hundred two billion, two hundred two million, four hundred thousand, four hundred fifty-six".