1001226505400 has 96 divisors (see below), whose sum is σ = 2540553465600. Its totient is φ = 363927676800.

The previous prime is 1001226505399. The next prime is 1001226505427. The reversal of 1001226505400 is 45056221001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001226505400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5147111 + ... + 5338089.

It is an arithmetic number, because the mean of its divisors is an integer number (26464098600).

Almost surely, 2^{1001226505400} is an apocalyptic number.

1001226505400 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 1001226505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270276732800).

1001226505400 is an abundant number, since it is smaller than the sum of its proper divisors (1539326960200).

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

1001226505400 is a wasteful number, since it uses less digits than its factorization.

1001226505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193389 (or 193380 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 1001226505400 in words is "one trillion, one billion, two hundred twenty-six million, five hundred five thousand, four hundred".