1211400154400 has 72 divisors (see below), whose sum is σ = 2958992737344. Its totient is φ = 484287724800.

The previous prime is 1211400154361. The next prime is 1211400154403. The reversal of 1211400154400 is 44510041121.

It is a super-3 number, since 3×1211400154400³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1211400154403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1001765 + ... + 1851035.

It is an arithmetic number, because the mean of its divisors is an integer number (41097121352).

Almost surely, 2^{1211400154400} is an apocalyptic number.

1211400154400 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 1211400154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479496368672).

1211400154400 is an abundant number, since it is smaller than the sum of its proper divisors (1747592582944).

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

1211400154400 is a wasteful number, since it uses less digits than its factorization.

1211400154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851074 (or 851061 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 1211400154400 its reverse (44510041121), we get a palindrome (1255910195521).

The spelling of 1211400154400 in words is "one trillion, two hundred eleven billion, four hundred million, one hundred fifty-four thousand, four hundred".