40222152250000 has 700 divisors, whose sum is σ = 114839311209876. Its totient is φ = 13645363200000.

The previous prime is 40222152249947. The next prime is 40222152250057. The reversal of 40222152250000 is 5225122204.

It can be written as a sum of positive squares in 14 ways, for example, as 23772411484416 + 16449740765584 = 4875696^2 + 4055828^2 .

It is a tau number, because it is divible by the number of its divisors (700).

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

It is a congruent number.

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 139 ways as a sum of consecutive naturals, for example, 67828249704 + ... + 67828250296.

Almost surely, 2^{40222152250000} is an apocalyptic number.

40222152250000 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 40222152250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57419655604938).

40222152250000 is an abundant number, since it is smaller than the sum of its proper divisors (74617158959876).

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

40222152250000 is an frugal number, since it uses more digits than its factorization.

40222152250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 40222152250000 its reverse (5225122204), we get a palindrome (40227377372204).

The spelling of 40222152250000 in words is "forty trillion, two hundred twenty-two billion, one hundred fifty-two million, two hundred fifty thousand".