4074836498640 has 480 divisors, whose sum is σ = 14426492895360. Its totient is φ = 1068759318528.

The previous prime is 4074836498533. The next prime is 4074836498651. The reversal of 4074836498640 is 468946384704.

4074836498640 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 83 + 6 + 498 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333914779 + ... + 333926981.

It is an arithmetic number, because the mean of its divisors is an integer number (30055193532).

Almost surely, 2^{4074836498640} is an apocalyptic number.

4074836498640 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 4074836498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213246447680).

4074836498640 is an abundant number, since it is smaller than the sum of its proper divisors (10351656396720).

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

4074836498640 is a wasteful number, since it uses less digits than its factorization.

4074836498640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12513 (or 12495 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 4074836498640 in words is "four trillion, seventy-four billion, eight hundred thirty-six million, four hundred ninety-eight thousand, six hundred forty".