4349715140160 has 1008 divisors, whose sum is σ = 17217899851152. Its totient is φ = 1001698099200.

The previous prime is 4349715140153. The next prime is 4349715140167. The reversal of 4349715140160 is 610415179434.

4349715140160 is a `hidden beast` number, since 4 + 3 + 4 + 9 + 71 + 514 + 0 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4349715140153) and next prime (4349715140167).

It can be written as a sum of positive squares in 24 ways, for example, as 3100613852736 + 1249101287424 = 1760856^2 + 1117632^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4349715140167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1958447850 + ... + 1958450070.

Almost surely, 2^{4349715140160} is an apocalyptic number.

4349715140160 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 4349715140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8608949925576).

4349715140160 is an abundant number, since it is smaller than the sum of its proper divisors (12868184710992).

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

4349715140160 is a wasteful number, since it uses less digits than its factorization.

4349715140160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4349715140160 in words is "four trillion, three hundred forty-nine billion, seven hundred fifteen million, one hundred forty thousand, one hundred sixty".