440103051864 has 384 divisors, whose sum is σ = 1448856460800. Its totient is φ = 123398795520.

The previous prime is 440103051827. The next prime is 440103051881. The reversal of 440103051864 is 468150301044.

440103051864 is a `hidden beast` number, since 4 + 40 + 10 + 30 + 518 + 64 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137918509 + ... + 137921699.

It is an arithmetic number, because the mean of its divisors is an integer number (3773063700).

Almost surely, 2^440103051864 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 440103051864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724428230400).

440103051864 is an abundant number, since it is smaller than the sum of its proper divisors (1008753408936).

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

440103051864 is a wasteful number, since it uses less digits than its factorization.

440103051864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 440103051864 in words is "four hundred forty billion, one hundred three million, fifty-one thousand, eight hundred sixty-four".