142644362238720 has 720 divisors, whose sum is σ = 528376810500000. Its totient is φ = 36701163749376.

The previous prime is 142644362238611. The next prime is 142644362238737. The reversal of 142644362238720 is 27832263446241.

142644362238720 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 4 + 4 + 3 + 622 + 3 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4507057456 + ... + 4507089104.

It is an arithmetic number, because the mean of its divisors is an integer number (733856681250).

Almost surely, 2^{142644362238720} is an apocalyptic number.

142644362238720 is a gapful number since it is divisible by the number (10) 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 142644362238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264188405250000).

142644362238720 is an abundant number, since it is smaller than the sum of its proper divisors (385732448261280).

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

142644362238720 is a wasteful number, since it uses less digits than its factorization.

142644362238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33210 (or 33187 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 142644362238720 in words is "one hundred forty-two trillion, six hundred forty-four billion, three hundred sixty-two million, two hundred thirty-eight thousand, seven hundred twenty".