74243046390240 has 384 divisors, whose sum is σ = 287853999713280. Its totient is φ = 15663410085888.

The previous prime is 74243046390229. The next prime is 74243046390251. The reversal of 74243046390240 is 4209364034247.

It is an interprime number because it is at equal distance from previous prime (74243046390229) and next prime (74243046390251).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74243046390240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 763870927 + ... + 763968113.

It is an arithmetic number, because the mean of its divisors is an integer number (749619790920).

Almost surely, 2^{74243046390240} is an apocalyptic number.

74243046390240 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 74243046390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143926999856640).

74243046390240 is an abundant number, since it is smaller than the sum of its proper divisors (213610953323040).

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

74243046390240 is a wasteful number, since it uses less digits than its factorization.

74243046390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114714 (or 114706 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 74243046390240 in words is "seventy-four trillion, two hundred forty-three billion, forty-six million, three hundred ninety thousand, two hundred forty".