441114992640 has 896 divisors, whose sum is σ = 1887321600000. Its totient is φ = 95487787008.

The previous prime is 441114992627. The next prime is 441114992651. The reversal of 441114992640 is 46299411144.

441114992640 is a `hidden beast` number, since 4 + 4 + 111 + 499 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147085861 + ... + 147088859.

Almost surely, 2^441114992640 is an apocalyptic number.

441114992640 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 441114992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943660800000).

441114992640 is an abundant number, since it is smaller than the sum of its proper divisors (1446206607360).

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

441114992640 is a wasteful number, since it uses less digits than its factorization.

441114992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 441114992640 in words is "four hundred forty-one billion, one hundred fourteen million, nine hundred ninety-two thousand, six hundred forty".