9102144014400 has 336 divisors, whose sum is σ = 29995366780800. Its totient is φ = 2416471818240.

The previous prime is 9102144014393. The next prime is 9102144014473. The reversal of 9102144014400 is 44104412019.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125245556 + ... + 1125253644.

Almost surely, 2^{9102144014400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9102144014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997683390400).

9102144014400 is an abundant number, since it is smaller than the sum of its proper divisors (20893222766400).

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

9102144014400 is a wasteful number, since it uses less digits than its factorization.

9102144014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9126 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 9102144014400 its reverse (44104412019), we get a palindrome (9146248426419).

The spelling of 9102144014400 in words is "nine trillion, one hundred two billion, one hundred forty-four million, fourteen thousand, four hundred".