1022080118400 has 1536 divisors, whose sum is σ = 4263327129600. Its totient is φ = 236888064000.

The previous prime is 1022080118363. The next prime is 1022080118401. The reversal of 1022080118400 is 48110802201.

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

It is not an unprimeable number, because it can be changed into a prime (1022080118401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3329251047 + ... + 3329251353.

It is an arithmetic number, because the mean of its divisors is an integer number (2775603600).

Almost surely, 2^{1022080118400} is an apocalyptic number.

1022080118400 is a gapful number since it is divisible by the number (10) 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 1022080118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131663564800).

1022080118400 is an abundant number, since it is smaller than the sum of its proper divisors (3241247011200).

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

1022080118400 is a wasteful number, since it uses less digits than its factorization.

1022080118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 1022080118400 in words is "one trillion, twenty-two billion, eighty million, one hundred eighteen thousand, four hundred".