40737083188672 has 112 divisors (see below), whose sum is σ = 87642207922752. Its totient is φ = 18675138355200.

The previous prime is 40737083188663. The next prime is 40737083188709. The reversal of 40737083188672 is 27688138073704.

40737083188672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2139880338 + ... + 2139899374.

It is an arithmetic number, because the mean of its divisors is an integer number (782519713596).

Almost surely, 2^{40737083188672} 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 40737083188672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43821103961376).

40737083188672 is an abundant number, since it is smaller than the sum of its proper divisors (46905124734080).

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

40737083188672 is a wasteful number, since it uses less digits than its factorization.

40737083188672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36246 (or 36236 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 64.

The spelling of 40737083188672 in words is "forty trillion, seven hundred thirty-seven billion, eighty-three million, one hundred eighty-eight thousand, six hundred seventy-two".