40705483536 has 405 divisors, whose sum is σ = 129514730709. Its totient is φ = 11931042816.

The previous prime is 40705483531. The next prime is 40705483537. The reversal of 40705483536 is 63538450704.

The square root of 40705483536 is 201756.

It is a perfect power (a square), and thus also a powerful number.

40705483536 is a `hidden beast` number, since 4 + 0 + 70 + 5 + 48 + 3 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31691120400 + 9014363136 = 178020^2 + 94944^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40705483491 and 40705483500.

It is not an unprimeable number, because it can be changed into a prime (40705483531) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 946639131 + ... + 946639173.

Almost surely, 2^40705483536 is an apocalyptic number.

40705483536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

40705483536 is the 201756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40705483536

40705483536 is an abundant number, since it is smaller than the sum of its proper divisors (88809247173).

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

40705483536 is a wasteful number, since it uses less digits than its factorization.

40705483536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 40705483536 in words is "forty billion, seven hundred five million, four hundred eighty-three thousand, five hundred thirty-six".