2994406440480 has 2304 divisors, whose sum is σ = 13537782720000. Its totient is φ = 612508925952.

The previous prime is 2994406440451. The next prime is 2994406440539. The reversal of 2994406440480 is 840446044992.

2994406440480 is a `hidden beast` number, since 29 + 9 + 4 + 40 + 64 + 40 + 480 = 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 383 ways as a sum of consecutive naturals, for example, 20096687446 + ... + 20096687594.

It is an arithmetic number, because the mean of its divisors is an integer number (5875773750).

Almost surely, 2^{2994406440480} is an apocalyptic number.

2994406440480 is a gapful number since it is divisible by the number (20) 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 2994406440480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768891360000).

2994406440480 is an abundant number, since it is smaller than the sum of its proper divisors (10543376279520).

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

2994406440480 is a wasteful number, since it uses less digits than its factorization.

2994406440480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2994406440480 in words is "two trillion, nine hundred ninety-four billion, four hundred six million, four hundred forty thousand, four hundred eighty".