4637142078912 has 336 divisors, whose sum is σ = 15701257887744. Its totient is φ = 1280448000000.

The previous prime is 4637142078883. The next prime is 4637142078991. The reversal of 4637142078912 is 2198702417364.

4637142078912 is a `hidden beast` number, since 4 + 63 + 7 + 1 + 420 + 78 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95094537 + ... + 95143287.

Almost surely, 2^{4637142078912} is an apocalyptic number.

4637142078912 is a gapful number since it is divisible by the number (42) 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 4637142078912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7850628943872).

4637142078912 is an abundant number, since it is smaller than the sum of its proper divisors (11064115808832).

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

4637142078912 is a wasteful number, since it uses less digits than its factorization.

4637142078912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49568 (or 49555 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 4637142078912 in words is "four trillion, six hundred thirty-seven billion, one hundred forty-two million, seventy-eight thousand, nine hundred twelve".