5411774438400 has 2112 divisors, whose sum is σ = 21790382469120. Its totient is φ = 1169149132800.

The previous prime is 5411774438393. The next prime is 5411774438449. The reversal of 5411774438400 is 48344771145.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5411774438400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39502003132 + ... + 39502003268.

Almost surely, 2^{5411774438400} is an apocalyptic number.

5411774438400 is a gapful number since it is divisible by the number (50) 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 5411774438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10895191234560).

5411774438400 is an abundant number, since it is smaller than the sum of its proper divisors (16378608030720).

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

5411774438400 is a wasteful number, since it uses less digits than its factorization.

5411774438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 5411774438400 in words is "five trillion, four hundred eleven billion, seven hundred seventy-four million, four hundred thirty-eight thousand, four hundred".