1054345201040 has 80 divisors (see below), whose sum is σ = 2498125038336. Its totient is φ = 413694528000.

The previous prime is 1054345201033. The next prime is 1054345201081. The reversal of 1054345201040 is 401025434501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1054345201040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054345200994 and 1054345201012.

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 15 ways as a sum of consecutive naturals, for example, 22665005 + ... + 22711475.

Almost surely, 2^{1054345201040} is an apocalyptic number.

1054345201040 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 1054345201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249062519168).

1054345201040 is an abundant number, since it is smaller than the sum of its proper divisors (1443779837296).

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

1054345201040 is a wasteful number, since it uses less digits than its factorization.

1054345201040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51888 (or 51882 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The spelling of 1054345201040 in words is "one trillion, fifty-four billion, three hundred forty-five million, two hundred one thousand, forty".