1054342336320 has 896 divisors, whose sum is σ = 4614311116800. Its totient is φ = 220682133504.

The previous prime is 1054342336297. The next prime is 1054342336351. The reversal of 1054342336320 is 236332434501.

1054342336320 is a `hidden beast` number, since 1 + 0 + 543 + 4 + 2 + 33 + 63 + 20 = 666.

It is a super-2 number, since 2×1054342336320² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99847201 + ... + 99857759.

It is an arithmetic number, because the mean of its divisors is an integer number (5149900800).

Almost surely, 2^{1054342336320} is an apocalyptic number.

1054342336320 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 1054342336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307155558400).

1054342336320 is an abundant number, since it is smaller than the sum of its proper divisors (3559968780480).

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

1054342336320 is a wasteful number, since it uses less digits than its factorization.

1054342336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10732 (or 10716 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 1054342336320 in words is "one trillion, fifty-four billion, three hundred forty-two million, three hundred thirty-six thousand, three hundred twenty".