40700630880 has 432 divisors, whose sum is σ = 173999118384. Its totient is φ = 8587192320.

The previous prime is 40700630849. The next prime is 40700630947. The reversal of 40700630880 is 8803600704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 895095 + ... + 939465.

It is an arithmetic number, because the mean of its divisors is an integer number (402775737).

Almost surely, 2^40700630880 is an apocalyptic number.

40700630880 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 40700630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86999559192).

40700630880 is an abundant number, since it is smaller than the sum of its proper divisors (133298487504).

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

40700630880 is a wasteful number, since it uses less digits than its factorization.

40700630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44419 (or 44401 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 40700630880 in words is "forty billion, seven hundred million, six hundred thirty thousand, eight hundred eighty".