35142167142000 has 320 divisors, whose sum is σ = 126291893944320. Its totient is φ = 9341107488000.

The previous prime is 35142167141969. The next prime is 35142167142001. The reversal of 35142167142000 is 24176124153.

35142167142000 is a `hidden beast` number, since 3 + 5 + 14 + 216 + 7 + 1 + 420 + 0 + 0 = 666.

It is a super-2 number, since 2×35142167142000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35142167142001) 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, 15747729 + ... + 17840271.

It is an arithmetic number, because the mean of its divisors is an integer number (394662168576).

Almost surely, 2^{35142167142000} is an apocalyptic number.

35142167142000 is a gapful number since it is divisible by the number (30) 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 35142167142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63145946972160).

35142167142000 is an abundant number, since it is smaller than the sum of its proper divisors (91149726802320).

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

35142167142000 is a wasteful number, since it uses less digits than its factorization.

35142167142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2092886 (or 2092864 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 35142167142000 in words is "thirty-five trillion, one hundred forty-two billion, one hundred sixty-seven million, one hundred forty-two thousand".