1021225444400 has 360 divisors, whose sum is σ = 3007914624000. Its totient is φ = 331305085440.

The previous prime is 1021225444357. The next prime is 1021225444427. The reversal of 1021225444400 is 44445221201.

It is a happy number.

1021225444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 580570721 + ... + 580572479.

It is an arithmetic number, because the mean of its divisors is an integer number (8355318400).

Almost surely, 2^{1021225444400} is an apocalyptic number.

1021225444400 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 1021225444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503957312000).

1021225444400 is an abundant number, since it is smaller than the sum of its proper divisors (1986689179600).

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

1021225444400 is a wasteful number, since it uses less digits than its factorization.

1021225444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The spelling of 1021225444400 in words is "one trillion, twenty-one billion, two hundred twenty-five million, four hundred forty-four thousand, four hundred".