742448540013120 has 448 divisors, whose sum is σ = 2627339881443840. Its totient is φ = 197371344715776.

The previous prime is 742448540013101. The next prime is 742448540013127. The reversal of 742448540013120 is 21310045844247.

742448540013120 is a `hidden beast` number, since 7 + 4 + 2 + 4 + 485 + 40 + 0 + 1 + 3 + 120 = 666.

It is a super-2 number, since 2×742448540013120² (a number of 31 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (742448540013127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4009826464 + ... + 4010011616.

Almost surely, 2^{742448540013120} 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 742448540013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313669940721920).

742448540013120 is an abundant number, since it is smaller than the sum of its proper divisors (1884891341430720).

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

742448540013120 is a wasteful number, since it uses less digits than its factorization.

742448540013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186619 (or 186603 counting only the distinct ones).

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

Adding to 742448540013120 its reverse (21310045844247), we get a palindrome (763758585857367).

The spelling of 742448540013120 in words is "seven hundred forty-two trillion, four hundred forty-eight billion, five hundred forty million, thirteen thousand, one hundred twenty".