1054395404820 has 336 divisors, whose sum is σ = 3373914720960. Its totient is φ = 276623424000.

The previous prime is 1054395404773. The next prime is 1054395404849. The reversal of 1054395404820 is 284045934501.

1054395404820 is a `hidden beast` number, since 1 + 0 + 5 + 43 + 9 + 540 + 48 + 20 = 666.

It is a super-2 number, since 2×1054395404820² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 273795895 + ... + 273799745.

It is an arithmetic number, because the mean of its divisors is an integer number (10041412860).

Almost surely, 2^{1054395404820} is an apocalyptic number.

1054395404820 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 1054395404820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686957360480).

1054395404820 is an abundant number, since it is smaller than the sum of its proper divisors (2319519316140).

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

1054395404820 is a wasteful number, since it uses less digits than its factorization.

1054395404820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1054395404820 in words is "one trillion, fifty-four billion, three hundred ninety-five million, four hundred four thousand, eight hundred twenty".