742231070945280 has 1040 divisors, whose sum is σ = 3054219075198720. Its totient is φ = 168904847130624.

The previous prime is 742231070945263. The next prime is 742231070945297. The reversal of 742231070945280 is 82549070132247.

742231070945280 is a `hidden beast` number, since 7 + 4 + 2 + 2 + 3 + 107 + 0 + 9 + 4 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (742231070945263) and next prime (742231070945297).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 2635819531 + ... + 2636101109.

It is an arithmetic number, because the mean of its divisors is an integer number (2936749110768).

Almost surely, 2^{742231070945280} is an apocalyptic number.

742231070945280 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 742231070945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527109537599360).

742231070945280 is an abundant number, since it is smaller than the sum of its proper divisors (2311988004253440).

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

742231070945280 is a wasteful number, since it uses less digits than its factorization.

742231070945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281854 (or 281823 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 742231070945280 in words is "seven hundred forty-two trillion, two hundred thirty-one billion, seventy million, nine hundred forty-five thousand, two hundred eighty".