40729788000 has 576 divisors, whose sum is σ = 158909796864. Its totient is φ = 9797760000.

The previous prime is 40729787941. The next prime is 40729788013. The reversal of 40729788000 is 88792704.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64547685 + ... + 64548315.

It is an arithmetic number, because the mean of its divisors is an integer number (275885064).

Almost surely, 2^40729788000 is an apocalyptic number.

40729788000 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 40729788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79454898432).

40729788000 is an abundant number, since it is smaller than the sum of its proper divisors (118180008864).

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

40729788000 is a wasteful number, since it uses less digits than its factorization.

40729788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 40729788000 in words is "forty billion, seven hundred twenty-nine million, seven hundred eighty-eight thousand".