4002137738160 has 160 divisors (see below), whose sum is σ = 12812271771648. Its totient is φ = 1032371758080.

The previous prime is 4002137738153. The next prime is 4002137738171. The reversal of 4002137738160 is 618377312004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17616654 + ... + 17842386.

Almost surely, 2^{4002137738160} is an apocalyptic number.

4002137738160 is a gapful number since it is divisible by the number (40) 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 4002137738160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6406135885824).

4002137738160 is an abundant number, since it is smaller than the sum of its proper divisors (8810134033488).

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

4002137738160 is a wasteful number, since it uses less digits than its factorization.

4002137738160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228163 (or 228157 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 4002137738160 in words is "four trillion, two billion, one hundred thirty-seven million, seven hundred thirty-eight thousand, one hundred sixty".