440634554868690 has 3072 divisors, whose sum is σ = 1643303337984000. Its totient is φ = 81480187699200.

The previous prime is 440634554868689. The next prime is 440634554868719. The reversal of 440634554868690 is 96868455436044.

It is a happy number.

440634554868690 is a `hidden beast` number, since 4 + 4 + 0 + 6 + 3 + 4 + 55 + 486 + 8 + 6 + 90 = 666.

It is a super-2 number, since 2×440634554868690² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 1435291709517 + ... + 1435291709823.

It is an arithmetic number, because the mean of its divisors is an integer number (534929472000).

Almost surely, 2^{440634554868690} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440634554868690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821651668992000).

440634554868690 is an abundant number, since it is smaller than the sum of its proper divisors (1202668783115310).

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

440634554868690 is a wasteful number, since it uses less digits than its factorization.

440634554868690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2388787200, while the sum is 72.

The spelling of 440634554868690 in words is "four hundred forty trillion, six hundred thirty-four billion, five hundred fifty-four million, eight hundred sixty-eight thousand, six hundred ninety".