142166382858240 has 1664 divisors, whose sum is σ = 512670941798400. Its totient is φ = 33411594977280.

The previous prime is 142166382858223. The next prime is 142166382858257. The reversal of 142166382858240 is 42858283661241.

It is an interprime number because it is at equal distance from previous prime (142166382858223) and next prime (142166382858257).

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×142166382858240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 463082680167 + ... + 463082680473.

Almost surely, 2^{142166382858240} is an apocalyptic number.

142166382858240 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 142166382858240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256335470899200).

142166382858240 is an abundant number, since it is smaller than the sum of its proper divisors (370504558940160).

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

142166382858240 is a wasteful number, since it uses less digits than its factorization.

142166382858240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 142166382858240 in words is "one hundred forty-two trillion, one hundred sixty-six billion, three hundred eighty-two million, eight hundred fifty-eight thousand, two hundred forty".