4434697560960 has 384 divisors, whose sum is σ = 15672497349600. Its totient is φ = 1155123560448.

The previous prime is 4434697560949. The next prime is 4434697560983. The reversal of 4434697560960 is 690657964344.

4434697560960 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 6 + 9 + 7 + 560 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×4434697560960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53313322 + ... + 53396438.

Almost surely, 2^{4434697560960} is an apocalyptic number.

4434697560960 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 4434697560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836248674800).

4434697560960 is an abundant number, since it is smaller than the sum of its proper divisors (11237799788640).

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

4434697560960 is a wasteful number, since it uses less digits than its factorization.

4434697560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83358 (or 83343 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 4434697560960 in words is "four trillion, four hundred thirty-four billion, six hundred ninety-seven million, five hundred sixty thousand, nine hundred sixty".