4466629440 has 1344 divisors, whose sum is σ = 21418905600. Its totient is φ = 853991424.

The previous prime is 4466629411. The next prime is 4466629477. The reversal of 4466629440 is 449266644.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 194201269 + ... + 194201291.

Almost surely, 2^4466629440 is an apocalyptic number.

4466629440 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 4466629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10709452800).

4466629440 is an abundant number, since it is smaller than the sum of its proper divisors (16952276160).

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

4466629440 is a wasteful number, since it uses less digits than its factorization.

4466629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 4466629440 is about 66832.8470140245. The cubic root of 4466629440 is about 1646.8724888924.

The spelling of 4466629440 in words is "four billion, four hundred sixty-six million, six hundred twenty-nine thousand, four hundred forty".