4040516480000 has 2640 divisors, whose sum is σ = 14880560121504. Its totient is φ = 1073479680000.

The previous prime is 4040516479939. The next prime is 4040516480003. The reversal of 4040516480000 is 846150404.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4040516480003) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 76236159974 + ... + 76236160026.

Almost surely, 2^{4040516480000} is an apocalyptic number.

4040516480000 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 4040516480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440280060752).

4040516480000 is an abundant number, since it is smaller than the sum of its proper divisors (10840043641504).

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

4040516480000 is a wasteful number, since it uses less digits than its factorization.

4040516480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 4040516480000 in words is "four trillion, forty billion, five hundred sixteen million, four hundred eighty thousand".