4496319795240 has 1536 divisors, whose sum is σ = 19811436503040. Its totient is φ = 857309184000.

The previous prime is 4496319795217. The next prime is 4496319795259. The reversal of 4496319795240 is 425979136944.

4496319795240 is a `hidden beast` number, since 4 + 4 + 9 + 6 + 31 + 9 + 79 + 524 + 0 = 666.

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

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, 2365238290 + ... + 2365240190.

It is an arithmetic number, because the mean of its divisors is an integer number (12898070640).

Almost surely, 2^{4496319795240} is an apocalyptic number.

4496319795240 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 4496319795240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905718251520).

4496319795240 is an abundant number, since it is smaller than the sum of its proper divisors (15315116707800).

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

4496319795240 is a wasteful number, since it uses less digits than its factorization.

4496319795240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 4496319795240 in words is "four trillion, four hundred ninety-six billion, three hundred nineteen million, seven hundred ninety-five thousand, two hundred forty".