140066155442304 has 2560 divisors, whose sum is σ = 559945916006400. Its totient is φ = 33715939737600.

The previous prime is 140066155442299. The next prime is 140066155442333. The reversal of 140066155442304 is 403244551660041.

140066155442304 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 61 + 554 + 4 + 2 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 140066155442304.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 170604330214 + ... + 170604331034.

It is an arithmetic number, because the mean of its divisors is an integer number (218728873440).

Almost surely, 2^{140066155442304} is an apocalyptic number.

140066155442304 is a gapful number since it is divisible by the number (14) 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 140066155442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279972958003200).

140066155442304 is an abundant number, since it is smaller than the sum of its proper divisors (419879760564096).

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

140066155442304 is a wasteful number, since it uses less digits than its factorization.

140066155442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 140066155442304 in words is "one hundred forty trillion, sixty-six billion, one hundred fifty-five million, four hundred forty-two thousand, three hundred four".