444690397509120 has 3360 divisors, whose sum is σ = 1929241145351520. Its totient is φ = 97901099089920.

The previous prime is 444690397509101. The next prime is 444690397509157. The reversal of 444690397509120 is 21905793096444.

444690397509120 is a `hidden beast` number, since 4 + 4 + 4 + 6 + 90 + 39 + 7 + 509 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 311189920566 + ... + 311189921994.

It is an arithmetic number, because the mean of its divisors is an integer number (574178912307).

Almost surely, 2^{444690397509120} is an apocalyptic number.

444690397509120 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 444690397509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964620572675760).

444690397509120 is an abundant number, since it is smaller than the sum of its proper divisors (1484550747842400).

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

444690397509120 is an equidigital number, since it uses as much as digits as its factorization.

444690397509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 444690397509120 in words is "four hundred forty-four trillion, six hundred ninety billion, three hundred ninety-seven million, five hundred nine thousand, one hundred twenty".