40193721630720 has 1728 divisors, whose sum is σ = 169173517214520. Its totient is φ = 8793945538560.

The previous prime is 40193721630709. The next prime is 40193721630793. The reversal of 40193721630720 is 2703612739104.

40193721630720 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 3 + 7 + 2 + 1 + 630 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26193432674304 + 14000288956416 = 5117952^2 + 3741696^2 .

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 71 ways as a sum of consecutive naturals, for example, 758372106214 + ... + 758372106266.

Almost surely, 2^{40193721630720} is an apocalyptic number.

40193721630720 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 40193721630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84586758607260).

40193721630720 is an abundant number, since it is smaller than the sum of its proper divisors (128979795583800).

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

40193721630720 is an frugal number, since it uses more digits than its factorization.

40193721630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 40193721630720 in words is "forty trillion, one hundred ninety-three billion, seven hundred twenty-one million, six hundred thirty thousand, seven hundred twenty".