740805085440 has 864 divisors, whose sum is σ = 3069583835136. Its totient is φ = 161382481920.

The previous prime is 740805085387. The next prime is 740805085451. The reversal of 740805085440 is 44580508047.

740805085440 is a `hidden beast` number, since 7 + 4 + 0 + 80 + 50 + 85 + 440 = 666.

It is a super-2 number, since 2×740805085440² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167487069 + ... + 167491491.

Almost surely, 2^740805085440 is an apocalyptic number.

740805085440 is a gapful number since it is divisible by the number (70) 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 740805085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534791917568).

740805085440 is an abundant number, since it is smaller than the sum of its proper divisors (2328778749696).

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

740805085440 is a wasteful number, since it uses less digits than its factorization.

740805085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4555 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 740805085440 in words is "seven hundred forty billion, eight hundred five million, eighty-five thousand, four hundred forty".