1022005020400 has 240 divisors, whose sum is σ = 3037669090624. Its totient is φ = 321769635840.

The previous prime is 1022005020313. The next prime is 1022005020427. The reversal of 1022005020400 is 40205002201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6952462 + ... + 7097938.

Almost surely, 2^{1022005020400} is an apocalyptic number.

1022005020400 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 1022005020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518834545312).

1022005020400 is an abundant number, since it is smaller than the sum of its proper divisors (2015664070224).

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

1022005020400 is a wasteful number, since it uses less digits than its factorization.

1022005020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145708 (or 145697 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The spelling of 1022005020400 in words is "one trillion, twenty-two billion, five million, twenty thousand, four hundred".