440969272128 has 560 divisors, whose sum is σ = 1632999211008. Its totient is φ = 114307200000.

The previous prime is 440969272123. The next prime is 440969272129. The reversal of 440969272128 is 821272969044.

It is a happy number.

440969272128 is a `hidden beast` number, since 440 + 9 + 6 + 9 + 2 + 72 + 128 = 666.

It is a super-2 number, since 2×440969272128² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440969272123) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 299774433 + ... + 299775903.

Almost surely, 2^440969272128 is an apocalyptic number.

440969272128 is a gapful number since it is divisible by the number (48) 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 440969272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816499605504).

440969272128 is an abundant number, since it is smaller than the sum of its proper divisors (1192029938880).

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

440969272128 is a wasteful number, since it uses less digits than its factorization.

440969272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 440969272128 in words is "four hundred forty billion, nine hundred sixty-nine million, two hundred seventy-two thousand, one hundred twenty-eight".