4138956360000 has 2240 divisors, whose sum is σ = 19251101675520. Its totient is φ = 846720000000.

The previous prime is 4138956359977. The next prime is 4138956360131. The reversal of 4138956360000 is 636598314.

4138956360000 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 9 + 5 + 636 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5904359650 + ... + 5904360350.

Almost surely, 2^{4138956360000} is an apocalyptic number.

4138956360000 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 4138956360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9625550837760).

4138956360000 is an abundant number, since it is smaller than the sum of its proper divisors (15112145315520).

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

4138956360000 is a wasteful number, since it uses less digits than its factorization.

4138956360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 4138956360000 in words is "four trillion, one hundred thirty-eight billion, nine hundred fifty-six million, three hundred sixty thousand".