4491915139440 has 720 divisors, whose sum is σ = 16478283197376. Its totient is φ = 1095701299200.

The previous prime is 4491915139357. The next prime is 4491915139463. The reversal of 4491915139440 is 449315191944.

4491915139440 is a `hidden beast` number, since 4 + 4 + 9 + 19 + 151 + 39 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2653227234 + ... + 2653228926.

Almost surely, 2^{4491915139440} is an apocalyptic number.

4491915139440 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 4491915139440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239141598688).

4491915139440 is an abundant number, since it is smaller than the sum of its proper divisors (11986368057936).

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

4491915139440 is a wasteful number, since it uses less digits than its factorization.

4491915139440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 4491915139440 in words is "four trillion, four hundred ninety-one billion, nine hundred fifteen million, one hundred thirty-nine thousand, four hundred forty".