4434602135040 has 2560 divisors, whose sum is σ = 21708461998080. Its totient is φ = 829174579200.

The previous prime is 4434602134981. The next prime is 4434602135053. The reversal of 4434602135040 is 405312064344.

4434602135040 is a `hidden beast` number, since 4 + 4 + 3 + 4 + 602 + 1 + 3 + 5 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×4434602135040² (a number of 26 digits) contains 22 as substring.

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 = 4434602134986 and 4434602135004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2080994775 + ... + 2080996905.

It is an arithmetic number, because the mean of its divisors is an integer number (8479867968).

Almost surely, 2^{4434602135040} is an apocalyptic number.

4434602135040 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 4434602135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10854230999040).

4434602135040 is an abundant number, since it is smaller than the sum of its proper divisors (17273859863040).

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

4434602135040 is a wasteful number, since it uses less digits than its factorization.

4434602135040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 4434602135040 its reverse (405312064344), we get a palindrome (4839914199384).

The spelling of 4434602135040 in words is "four trillion, four hundred thirty-four billion, six hundred two million, one hundred thirty-five thousand, forty".