742131519012 has 384 divisors, whose sum is σ = 2234273932800. Its totient is φ = 210986975232.

The previous prime is 742131518971. The next prime is 742131519083. The reversal of 742131519012 is 210915131247.

It is a happy number.

742131519012 is a `hidden beast` number, since 7 + 4 + 2 + 131 + 519 + 0 + 1 + 2 = 666.

It is a super-2 number, since 2×742131519012² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 622071088 + ... + 622072280.

It is an arithmetic number, because the mean of its divisors is an integer number (5818421700).

Almost surely, 2^742131519012 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 742131519012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117136966400).

742131519012 is an abundant number, since it is smaller than the sum of its proper divisors (1492142413788).

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

742131519012 is a wasteful number, since it uses less digits than its factorization.

742131519012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 742131519012 in words is "seven hundred forty-two billion, one hundred thirty-one million, five hundred nineteen thousand, twelve".