40468770720 has 576 divisors, whose sum is σ = 169251586560. Its totient is φ = 8998262784.

The previous prime is 40468770703. The next prime is 40468770773. The reversal of 40468770720 is 2707786404.

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

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, 7829577 + ... + 7834743.

It is an arithmetic number, because the mean of its divisors is an integer number (293839560).

Almost surely, 2^40468770720 is an apocalyptic number.

40468770720 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 40468770720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84625793280).

40468770720 is an abundant number, since it is smaller than the sum of its proper divisors (128782815840).

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

40468770720 is a wasteful number, since it uses less digits than its factorization.

40468770720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5221 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 40468770720 in words is "forty billion, four hundred sixty-eight million, seven hundred seventy thousand, seven hundred twenty".