4140045144000 has 672 divisors, whose sum is σ = 15250302849600. Its totient is φ = 1071321292800.

The previous prime is 4140045143957. The next prime is 4140045144031. The reversal of 4140045144000 is 4415400414.

4140045144000 is a `hidden beast` number, since 4 + 140 + 0 + 4 + 514 + 4 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1116214146 + ... + 1116217854.

It is an arithmetic number, because the mean of its divisors is an integer number (22693903050).

Almost surely, 2^{4140045144000} is an apocalyptic number.

4140045144000 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 4140045144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7625151424800).

4140045144000 is an abundant number, since it is smaller than the sum of its proper divisors (11110257705600).

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

4140045144000 is a wasteful number, since it uses less digits than its factorization.

4140045144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4198 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The spelling of 4140045144000 in words is "four trillion, one hundred forty billion, forty-five million, one hundred forty-four thousand".