4435556252160 has 320 divisors, whose sum is σ = 15798144282624. Its totient is φ = 1052406988800.

The previous prime is 4435556252087. The next prime is 4435556252177. The reversal of 4435556252160 is 612526555344.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3412005 + ... + 4529115.

Almost surely, 2^{4435556252160} is an apocalyptic number.

4435556252160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4435556252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7899072141312).

4435556252160 is an abundant number, since it is smaller than the sum of its proper divisors (11362588030464).

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

4435556252160 is a wasteful number, since it uses less digits than its factorization.

4435556252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117195 (or 1117179 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 4435556252160 in words is "four trillion, four hundred thirty-five billion, five hundred fifty-six million, two hundred fifty-two thousand, one hundred sixty".