40083456780 has 144 divisors (see below), whose sum is σ = 128126718720. Its totient is φ = 10115197056.

The previous prime is 40083456697. The next prime is 40083456781. The reversal of 40083456780 is 8765438004.

40083456780 is a `hidden beast` number, since 4 + 0 + 0 + 8 + 3 + 4 + 567 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40083456781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3355899 + ... + 3367821.

It is an arithmetic number, because the mean of its divisors is an integer number (889768880).

Almost surely, 2^40083456780 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40083456780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64063359360).

40083456780 is an abundant number, since it is smaller than the sum of its proper divisors (88043261940).

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

40083456780 is a wasteful number, since it uses less digits than its factorization.

40083456780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12940 (or 12935 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 40083456780 in words is "forty billion, eighty-three million, four hundred fifty-six thousand, seven hundred eighty".