4345995785040 has 1920 divisors, whose sum is σ = 19205490769920. Its totient is φ = 855816192000.

The previous prime is 4345995785039. The next prime is 4345995785071. The reversal of 4345995785040 is 405875995434.

4345995785040 is a `hidden beast` number, since 4 + 3 + 4 + 5 + 9 + 9 + 578 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 16156118026 + ... + 16156118294.

It is an arithmetic number, because the mean of its divisors is an integer number (10002859776).

Almost surely, 2^{4345995785040} is an apocalyptic number.

4345995785040 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 4345995785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9602745384960).

4345995785040 is an abundant number, since it is smaller than the sum of its proper divisors (14859494984880).

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

4345995785040 is a wasteful number, since it uses less digits than its factorization.

4345995785040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 4345995785040 in words is "four trillion, three hundred forty-five billion, nine hundred ninety-five million, seven hundred eighty-five thousand, forty".