40044136903680 has 1408 divisors, whose sum is σ = 161943520628736. Its totient is φ = 8219551334400.

The previous prime is 40044136903669. The next prime is 40044136903711. The reversal of 40044136903680 is 8630963144004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16889132895 + ... + 16889135265.

It is an arithmetic number, because the mean of its divisors is an integer number (115016704992).

Almost surely, 2^{40044136903680} is an apocalyptic number.

40044136903680 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 40044136903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80971760314368).

40044136903680 is an abundant number, since it is smaller than the sum of its proper divisors (121899383725056).

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

40044136903680 is a wasteful number, since it uses less digits than its factorization.

40044136903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 40044136903680 in words is "forty trillion, forty-four billion, one hundred thirty-six million, nine hundred three thousand, six hundred eighty".