4976209401840 has 320 divisors, whose sum is σ = 17382571015680. Its totient is φ = 1308246681600.

The previous prime is 4976209401809. The next prime is 4976209401851. The reversal of 4976209401840 is 481049026794.

4976209401840 is a `hidden beast` number, since 4 + 9 + 7 + 620 + 9 + 4 + 0 + 1 + 8 + 4 + 0 = 666.

It is a super-3 number, since 3×4976209401840³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 467200515 + ... + 467211165.

It is an arithmetic number, because the mean of its divisors is an integer number (54320534424).

Almost surely, 2^{4976209401840} is an apocalyptic number.

4976209401840 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 4976209401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8691285507840).

4976209401840 is an abundant number, since it is smaller than the sum of its proper divisors (12406361613840).

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

4976209401840 is a wasteful number, since it uses less digits than its factorization.

4976209401840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13709 (or 13697 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4976209401840 in words is "four trillion, nine hundred seventy-six billion, two hundred nine million, four hundred one thousand, eight hundred forty".