4909641834240 has 1728 divisors, whose sum is σ = 20789973614592. Its totient is φ = 1053455155200.

The previous prime is 4909641834211. The next prime is 4909641834247. The reversal of 4909641834240 is 424381469094.

4909641834240 is a `hidden beast` number, since 4 + 90 + 96 + 41 + 8 + 3 + 424 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4909641834247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6485655942 + ... + 6485656698.

Almost surely, 2^{4909641834240} is an apocalyptic number.

4909641834240 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 4909641834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394986807296).

4909641834240 is an abundant number, since it is smaller than the sum of its proper divisors (15880331780352).

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

4909641834240 is a wasteful number, since it uses less digits than its factorization.

4909641834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 4909641834240 in words is "four trillion, nine hundred nine billion, six hundred forty-one million, eight hundred thirty-four thousand, two hundred forty".