4009389961440 has 192 divisors, whose sum is σ = 13474578458880. Its totient is φ = 998596485120.

The previous prime is 4009389961439. The next prime is 4009389961469. The reversal of 4009389961440 is 441699839004.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 806410 + ... + 2944329.

It is an arithmetic number, because the mean of its divisors is an integer number (70180096140).

Almost surely, 2^{4009389961440} is an apocalyptic number.

4009389961440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4009389961440 is an abundant number, since it is smaller than the sum of its proper divisors (9465188497440).

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

4009389961440 is a wasteful number, since it uses less digits than its factorization.

4009389961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3750905 (or 3750897 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 57.

The spelling of 4009389961440 in words is "four trillion, nine billion, three hundred eighty-nine million, nine hundred sixty-one thousand, four hundred forty".