1001211642400 has 144 divisors (see below), whose sum is σ = 2573703084960. Its totient is φ = 379280793600.

The previous prime is 1001211642391. The next prime is 1001211642401. The reversal of 1001211642400 is 42461121001.

It is not an unprimeable number, because it can be changed into a prime (1001211642401) by changing a digit.

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, 54969295 + ... + 54987505.

It is an arithmetic number, because the mean of its divisors is an integer number (17872938090).

Almost surely, 2^{1001211642400} is an apocalyptic number.

1001211642400 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 1001211642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286851542480).

1001211642400 is an abundant number, since it is smaller than the sum of its proper divisors (1572491442560).

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

1001211642400 is a wasteful number, since it uses less digits than its factorization.

1001211642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21867 (or 21854 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 1001211642400 its reverse (42461121001), we get a palindrome (1043672763401).

The spelling of 1001211642400 in words is "one trillion, one billion, two hundred eleven million, six hundred forty-two thousand, four hundred".