514444496040 has 192 divisors, whose sum is σ = 1680682348800. Its totient is φ = 136470191616.

The previous prime is 514444496039. The next prime is 514444496047. The reversal of 514444496040 is 40694444415.

It is a happy number.

514444496040 is a `hidden beast` number, since 5 + 144 + 4 + 449 + 60 + 4 + 0 = 666.

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 (514444496047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55353634 + ... + 55362926.

It is an arithmetic number, because the mean of its divisors is an integer number (8753553900).

Almost surely, 2^514444496040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514444496040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840341174400).

514444496040 is an abundant number, since it is smaller than the sum of its proper divisors (1166237852760).

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

514444496040 is a wasteful number, since it uses less digits than its factorization.

514444496040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10096 (or 10089 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 514444496040 in words is "five hundred fourteen billion, four hundred forty-four million, four hundred ninety-six thousand, forty".