468249263914440 has 512 divisors, whose sum is σ = 1505500992000000. Its totient is φ = 116163914711040.

The previous prime is 468249263914417. The next prime is 468249263914493. The reversal of 468249263914440 is 44419362942864.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70107687021 + ... + 70107693699.

It is an arithmetic number, because the mean of its divisors is an integer number (2940431625000).

Almost surely, 2^{468249263914440} is an apocalyptic number.

468249263914440 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 468249263914440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752750496000000).

468249263914440 is an abundant number, since it is smaller than the sum of its proper divisors (1037251728085560).

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

468249263914440 is a wasteful number, since it uses less digits than its factorization.

468249263914440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8565 (or 8561 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 66.

The spelling of 468249263914440 in words is "four hundred sixty-eight trillion, two hundred forty-nine billion, two hundred sixty-three million, nine hundred fourteen thousand, four hundred forty".