40088001600000 has 840 divisors, whose sum is σ = 150109288601580. Its totient is φ = 10689822720000.

The previous prime is 40088001599999. The next prime is 40088001600041. The reversal of 40088001600000 is 610088004.

It can be written as a sum of positive squares in 6 ways, for example, as 28823890176 + 40059177709824 = 169776^2 + 6329232^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1166382816 + ... + 1166417184.

Almost surely, 2^{40088001600000} is an apocalyptic number.

40088001600000 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 40088001600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75054644300790).

40088001600000 is an abundant number, since it is smaller than the sum of its proper divisors (110021287001580).

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

40088001600000 is an frugal number, since it uses more digits than its factorization.

40088001600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34430 (or 34379 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 40088001600000 its reverse (610088004), we get a palindrome (40088611688004).

The spelling of 40088001600000 in words is "forty trillion, eighty-eight billion, one million, six hundred thousand".