35142142464 has 640 divisors, whose sum is σ = 126629395200. Its totient is φ = 9475522560.

The previous prime is 35142142459. The next prime is 35142142471. The reversal of 35142142464 is 46424124153.

35142142464 is a `hidden beast` number, since 3 + 51 + 4 + 2 + 142 + 464 = 666.

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 (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57327822 + ... + 57328434.

It is an arithmetic number, because the mean of its divisors is an integer number (197858430).

Almost surely, 2^35142142464 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 35142142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63314697600).

35142142464 is an abundant number, since it is smaller than the sum of its proper divisors (91487252736).

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

35142142464 is a wasteful number, since it uses less digits than its factorization.

35142142464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 671 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 35142142464 in words is "thirty-five billion, one hundred forty-two million, one hundred forty-two thousand, four hundred sixty-four".