40081561000000 has 441 divisors, whose sum is σ = 107877258547947. Its totient is φ = 14768956800000.

The previous prime is 40081560999979. The next prime is 40081561000007. The reversal of 40081561000000 is 16518004.

The square root of 40081561000000 is 6331000.

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

It can be written as a sum of positive squares in 10 ways, for example, as 18803046717504 + 21278514282496 = 4336248^2 + 4612864^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40081561000007) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 82302999757 + ... + 82303000243.

Almost surely, 2^{40081561000000} is an apocalyptic number.

40081561000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

40081561000000 is the 6331000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40081561000000

40081561000000 is an abundant number, since it is smaller than the sum of its proper divisors (67795697547947).

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

40081561000000 is an frugal number, since it uses more digits than its factorization.

40081561000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

40081561000000 divided by its sum of digits (25) gives a square (1603262440000 = 1266200²).

Adding to 40081561000000 its reverse (16518004), we get a palindrome (40081577518004).

The spelling of 40081561000000 in words is "forty trillion, eighty-one billion, five hundred sixty-one million", and thus it is an aban number.