740301834240 has 576 divisors, whose sum is σ = 2738176721280. Its totient is φ = 184331796480.

The previous prime is 740301834221. The next prime is 740301834263. The reversal of 740301834240 is 42438103047.

740301834240 is a `hidden beast` number, since 7 + 4 + 0 + 301 + 8 + 342 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 740301834195 and 740301834204.

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, 205238517 + ... + 205242123.

It is an arithmetic number, because the mean of its divisors is an integer number (4753779030).

Almost surely, 2^740301834240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 740301834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369088360640).

740301834240 is an abundant number, since it is smaller than the sum of its proper divisors (1997874887040).

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

740301834240 is a wasteful number, since it uses less digits than its factorization.

740301834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 740301834240 its reverse (42438103047), we get a palindrome (782739937287).

The spelling of 740301834240 in words is "seven hundred forty billion, three hundred one million, eight hundred thirty-four thousand, two hundred forty".