4961777783040 has 720 divisors, whose sum is σ = 19736787603456. Its totient is φ = 1181952000000.

The previous prime is 4961777782999. The next prime is 4961777783099. The reversal of 4961777783040 is 403877771694.

4961777783040 is a `hidden beast` number, since 4 + 9 + 617 + 7 + 7 + 7 + 8 + 3 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41723665 + ... + 41842415.

Almost surely, 2^{4961777783040} is an apocalyptic number.

4961777783040 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 4961777783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9868393801728).

4961777783040 is an abundant number, since it is smaller than the sum of its proper divisors (14775009820416).

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

4961777783040 is a wasteful number, since it uses less digits than its factorization.

4961777783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118828 (or 118805 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 4961777783040 in words is "four trillion, nine hundred sixty-one billion, seven hundred seventy-seven million, seven hundred eighty-three thousand, forty".