1484041506400 has 288 divisors, whose sum is σ = 3946067435520. Its totient is φ = 542844395520.

The previous prime is 1484041506391. The next prime is 1484041506401. The reversal of 1484041506400 is 46051404841.

It is a self number, because there is not a number n which added to its sum of digits gives 1484041506400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1484041506401) 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, 88840449 + ... + 88857151.

It is an arithmetic number, because the mean of its divisors is an integer number (13701623040).

Almost surely, 2^{1484041506400} is an apocalyptic number.

1484041506400 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 1484041506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973033717760).

1484041506400 is an abundant number, since it is smaller than the sum of its proper divisors (2462025929120).

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

1484041506400 is a wasteful number, since it uses less digits than its factorization.

1484041506400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16926 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 1484041506400 in words is "one trillion, four hundred eighty-four billion, forty-one million, five hundred six thousand, four hundred".