142406640072 has 24 divisors (see below), whose sum is σ = 385684650390. Its totient is φ = 47468880000.

The previous prime is 142406640067. The next prime is 142406640109. The reversal of 142406640072 is 270046604241.

142406640072 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 0 + 6 + 640 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 135502027236 + 6904612836 = 368106^2 + 83094^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×142406640072² (a number of 23 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 988934929 + ... + 988935072.

Almost surely, 2^142406640072 is an apocalyptic number.

142406640072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142406640072 is an abundant number, since it is smaller than the sum of its proper divisors (243278010318).

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

142406640072 is a wasteful number, since it uses less digits than its factorization.

142406640072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1977870013 (or 1977870006 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 142406640072 in words is "one hundred forty-two billion, four hundred six million, six hundred forty thousand, seventy-two".