1000272111400 has 192 divisors, whose sum is σ = 2597780160000. Its totient is φ = 356422936320.

The previous prime is 1000272111389. The next prime is 1000272111401. The reversal of 1000272111400 is 41112720001.

1000272111400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000272111400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1000272111401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5059611 + ... + 5253589.

It is an arithmetic number, because the mean of its divisors is an integer number (13530105000).

Almost surely, 2^{1000272111400} is an apocalyptic number.

1000272111400 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 1000272111400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298890080000).

1000272111400 is an abundant number, since it is smaller than the sum of its proper divisors (1597508048600).

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

1000272111400 is a wasteful number, since it uses less digits than its factorization.

1000272111400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194096 (or 194087 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 1000272111400 its reverse (41112720001), we get a palindrome (1041384831401).

The spelling of 1000272111400 in words is "one trillion, two hundred seventy-two million, one hundred eleven thousand, four hundred".