4131382544640 has 1728 divisors, whose sum is σ = 17020862208000. Its totient is φ = 945601413120.

The previous prime is 4131382544579. The next prime is 4131382544683. The reversal of 4131382544640 is 464452831314.

4131382544640 is a `hidden beast` number, since 4 + 1 + 3 + 138 + 2 + 54 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6547357125 + ... + 6547357755.

It is an arithmetic number, because the mean of its divisors is an integer number (9850036000).

Almost surely, 2^{4131382544640} is an apocalyptic number.

4131382544640 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 4131382544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8510431104000).

4131382544640 is an abundant number, since it is smaller than the sum of its proper divisors (12889479663360).

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

4131382544640 is a wasteful number, since it uses less digits than its factorization.

4131382544640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 4131382544640 in words is "four trillion, one hundred thirty-one billion, three hundred eighty-two million, five hundred forty-four thousand, six hundred forty".