2154104440400 has 480 divisors, whose sum is σ = 5974123631616. Its totient is φ = 738777600000.

The previous prime is 2154104440399. The next prime is 2154104440483. The reversal of 2154104440400 is 40444014512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3584200100 + ... + 3584200700.

Almost surely, 2^{2154104440400} is an apocalyptic number.

2154104440400 is a gapful number since it is divisible by the number (20) 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 2154104440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987061815808).

2154104440400 is an abundant number, since it is smaller than the sum of its proper divisors (3820019191216).

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

2154104440400 is a wasteful number, since it uses less digits than its factorization.

2154104440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1080 counting only the distinct ones).

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

Adding to 2154104440400 its reverse (40444014512), we get a palindrome (2194548454912).

The spelling of 2154104440400 in words is "two trillion, one hundred fifty-four billion, one hundred four million, four hundred forty thousand, four hundred".