4140968832000 has 6336 divisors, whose sum is σ = 22261681128960. Its totient is φ = 752467968000.

The previous prime is 4140968831983. The next prime is 4140968832029. The reversal of 4140968832000 is 2388690414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (6336).

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 575 ways as a sum of consecutive naturals, for example, 217945727991 + ... + 217945728009.

Almost surely, 2^{4140968832000} is an apocalyptic number.

4140968832000 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 4140968832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11130840564480).

4140968832000 is an abundant number, since it is smaller than the sum of its proper divisors (18120712296960).

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

4140968832000 is a wasteful number, since it uses less digits than its factorization.

4140968832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 4140968832000 in words is "four trillion, one hundred forty billion, nine hundred sixty-eight million, eight hundred thirty-two thousand".