440428894746624 has 3840 divisors, whose sum is σ = 1687771717632000. Its totient is φ = 111686312263680.

The previous prime is 440428894746557. The next prime is 440428894746653. The reversal of 440428894746624 is 426647498824044.

440428894746624 is a `hidden beast` number, since 4 + 4 + 0 + 4 + 28 + 89 + 47 + 466 + 24 = 666.

It is a super-2 number, since 2×440428894746624² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3168553199547 + ... + 3168553199685.

It is an arithmetic number, because the mean of its divisors is an integer number (439523884800).

Almost surely, 2^{440428894746624} 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 440428894746624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843885858816000).

440428894746624 is an abundant number, since it is smaller than the sum of its proper divisors (1247342822885376).

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

440428894746624 is a wasteful number, since it uses less digits than its factorization.

440428894746624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2378170368, while the sum is 72.

The spelling of 440428894746624 in words is "four hundred forty trillion, four hundred twenty-eight billion, eight hundred ninety-four million, seven hundred forty-six thousand, six hundred twenty-four".