4124988977040 has 240 divisors, whose sum is σ = 14373383169600. Its totient is φ = 1099444409856.

The previous prime is 4124988977009. The next prime is 4124988977051. The reversal of 4124988977040 is 407798894214.

4124988977040 is a `hidden beast` number, since 4 + 12 + 498 + 8 + 97 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39391471 + ... + 39496049.

It is an arithmetic number, because the mean of its divisors is an integer number (59889096540).

Almost surely, 2^{4124988977040} is an apocalyptic number.

4124988977040 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 4124988977040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186691584800).

4124988977040 is an abundant number, since it is smaller than the sum of its proper divisors (10248394192560).

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

4124988977040 is a wasteful number, since it uses less digits than its factorization.

4124988977040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106636 (or 106618 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 4124988977040 in words is "four trillion, one hundred twenty-four billion, nine hundred eighty-eight million, nine hundred seventy-seven thousand, forty".