4626142287120 has 120 divisors (see below), whose sum is σ = 15540504212376. Its totient is φ = 1233290440704.

The previous prime is 4626142287077. The next prime is 4626142287161. The reversal of 4626142287120 is 217822416264.

4626142287120 is a `hidden beast` number, since 4 + 6 + 2 + 614 + 2 + 2 + 8 + 7 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 918561229056 + 3707581058064 = 958416^2 + 1925508^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1657864 + ... + 3464216.

Almost surely, 2^{4626142287120} is an apocalyptic number.

4626142287120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4626142287120 is an abundant number, since it is smaller than the sum of its proper divisors (10914361925256).

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

4626142287120 is a wasteful number, since it uses less digits than its factorization.

4626142287120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809929 (or 1809920 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 4626142287120 in words is "four trillion, six hundred twenty-six billion, one hundred forty-two million, two hundred eighty-seven thousand, one hundred twenty".