4143781376640 has 512 divisors, whose sum is σ = 15565114483200. Its totient is φ = 1039631155200.

The previous prime is 4143781376639. The next prime is 4143781376717. The reversal of 4143781376640 is 466731873414.

It is a happy number.

4143781376640 is a `hidden beast` number, since 4 + 1 + 437 + 81 + 3 + 76 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24158380 + ... + 24329300.

It is an arithmetic number, because the mean of its divisors is an integer number (30400614225).

Almost surely, 2^{4143781376640} is an apocalyptic number.

4143781376640 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 4143781376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7782557241600).

4143781376640 is an abundant number, since it is smaller than the sum of its proper divisors (11421333106560).

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

4143781376640 is a wasteful number, since it uses less digits than its factorization.

4143781376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171033 (or 171015 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4143781376640 in words is "four trillion, one hundred forty-three billion, seven hundred eighty-one million, three hundred seventy-six thousand, six hundred forty".