1022525440000 has 285 divisors, whose sum is σ = 2588248157187. Its totient is φ = 403832832000.

The previous prime is 1022525439917. The next prime is 1022525440007. The reversal of 1022525440000 is 445252201.

The square root of 1022525440000 is 1011200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 80165994496 + 942359445504 = 283136^2 + 970752^2 .

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 (1022525440007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12943359961 + ... + 12943360039.

Almost surely, 2^{1022525440000} is an apocalyptic number.

1022525440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1022525440000 is the 1011200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022525440000

1022525440000 is an abundant number, since it is smaller than the sum of its proper divisors (1565722717187).

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

1022525440000 is an frugal number, since it uses more digits than its factorization.

1022525440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 86 counting only the distinct ones).

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

Multiplying 1022525440000 by its sum of digits (25), we get a square (25563136000000 = 5056000²).

1022525440000 divided by its sum of digits (25) gives a square (40901017600 = 202240²).

The spelling of 1022525440000 in words is "one trillion, twenty-two billion, five hundred twenty-five million, four hundred forty thousand".