4965244416 has 240 divisors, whose sum is σ = 16316277120. Its totient is φ = 1438863360.

The previous prime is 4965244411. The next prime is 4965244469. The reversal of 4965244416 is 6144425694.

It is a super-2 number, since 2×4965244416² = 49307304221238362112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965244411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1163695 + ... + 1167953.

It is an arithmetic number, because the mean of its divisors is an integer number (67984488).

Almost surely, 2^4965244416 is an apocalyptic number.

4965244416 is a gapful number since it is divisible by the number (46) 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 4965244416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8158138560).

4965244416 is an abundant number, since it is smaller than the sum of its proper divisors (11351032704).

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

4965244416 is a wasteful number, since it uses less digits than its factorization.

4965244416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4317 (or 4298 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 4965244416 is about 70464.4904615083. The cubic root of 4965244416 is about 1706.0046499206.

The spelling of 4965244416 in words is "four billion, nine hundred sixty-five million, two hundred forty-four thousand, four hundred sixteen".