4306041492480 has 2112 divisors, whose sum is σ = 19341525385728. Its totient is φ = 894361927680.

The previous prime is 4306041492457. The next prime is 4306041492481. The reversal of 4306041492480 is 842941406034.

4306041492480 is a `hidden beast` number, since 4 + 3 + 0 + 604 + 14 + 9 + 24 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4306041492481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8264954620 + ... + 8264955140.

Almost surely, 2^{4306041492480} is an apocalyptic number.

4306041492480 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 4306041492480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9670762692864).

4306041492480 is an abundant number, since it is smaller than the sum of its proper divisors (15035483893248).

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

4306041492480 is a wasteful number, since it uses less digits than its factorization.

4306041492480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4306041492480 in words is "four trillion, three hundred six billion, forty-one million, four hundred ninety-two thousand, four hundred eighty".