4463735040 has 432 divisors, whose sum is σ = 16285022208. Its totient is φ = 1170505728.

The previous prime is 4463734991. The next prime is 4463735077. The reversal of 4463735040 is 405373644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4463734986 and 4463735004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35147457 + ... + 35147583.

Almost surely, 2^4463735040 is an apocalyptic number.

4463735040 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 4463735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8142511104).

4463735040 is an abundant number, since it is smaller than the sum of its proper divisors (11821287168).

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

4463735040 is a wasteful number, since it uses less digits than its factorization.

4463735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 4463735040 is about 66811.1894820022. The cubic root of 4463735040 is about 1646.5166846046.

The spelling of 4463735040 in words is "four billion, four hundred sixty-three million, seven hundred thirty-five thousand, forty".