54440786400 has 2304 divisors, whose sum is σ = 266094968832. Its totient is φ = 9289728000.

The previous prime is 54440786333. The next prime is 54440786461. The reversal of 54440786400 is 468704445.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1266064779 + ... + 1266064821.

It is an arithmetic number, because the mean of its divisors is an integer number (115492608).

Almost surely, 2^54440786400 is an apocalyptic number.

54440786400 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 54440786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133047484416).

54440786400 is an abundant number, since it is smaller than the sum of its proper divisors (211654182432).

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

54440786400 is a wasteful number, since it uses less digits than its factorization.

54440786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 54440786400 in words is "fifty-four billion, four hundred forty million, seven hundred eighty-six thousand, four hundred".