742144124358000 has 1920 divisors, whose sum is σ = 3306079892344320. Its totient is φ = 150917205196800.

The previous prime is 742144124357989. The next prime is 742144124358023. The reversal of 742144124358000 is 853421441247.

742144124358000 is a `hidden beast` number, since 7 + 4 + 2 + 1 + 4 + 41 + 24 + 3 + 580 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27408640462 + ... + 27408667538.

It is an arithmetic number, because the mean of its divisors is an integer number (1721916610596).

Almost surely, 2^{742144124358000} is an apocalyptic number.

742144124358000 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 742144124358000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653039946172160).

742144124358000 is an abundant number, since it is smaller than the sum of its proper divisors (2563935767986320).

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

742144124358000 is a wasteful number, since it uses less digits than its factorization.

742144124358000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27732 (or 27713 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

Adding to 742144124358000 its reverse (853421441247), we get a palindrome (742997545799247).

The spelling of 742144124358000 in words is "seven hundred forty-two trillion, one hundred forty-four billion, one hundred twenty-four million, three hundred fifty-eight thousand".