4434011412480 has 1152 divisors, whose sum is σ = 16967570256000. Its totient is φ = 1070565949440.

The previous prime is 4434011412443. The next prime is 4434011412533. The reversal of 4434011412480 is 842141104344.

4434011412480 is a `hidden beast` number, since 4 + 4 + 3 + 401 + 1 + 4 + 1 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12351006541 + ... + 12351006899.

It is an arithmetic number, because the mean of its divisors is an integer number (14728793625).

Almost surely, 2^{4434011412480} is an apocalyptic number.

4434011412480 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 4434011412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483785128000).

4434011412480 is an abundant number, since it is smaller than the sum of its proper divisors (12533558843520).

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

4434011412480 is a wasteful number, since it uses less digits than its factorization.

4434011412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 4434011412480 in words is "four trillion, four hundred thirty-four billion, eleven million, four hundred twelve thousand, four hundred eighty".