1054729175040 has 864 divisors, whose sum is σ = 3916038934080. Its totient is φ = 272130637824.

The previous prime is 1054729174927. The next prime is 1054729175047. The reversal of 1054729175040 is 405719274501.

1054729175040 is a `hidden beast` number, since 1 + 0 + 5 + 472 + 9 + 175 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×1054729175040² (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 not an unprimeable number, because it can be changed into a prime (1054729175047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5892341671 + ... + 5892341849.

It is an arithmetic number, because the mean of its divisors is an integer number (4532452470).

Almost surely, 2^{1054729175040} is an apocalyptic number.

1054729175040 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 1054729175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958019467040).

1054729175040 is an abundant number, since it is smaller than the sum of its proper divisors (2861309759040).

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

1054729175040 is an frugal number, since it uses more digits than its factorization.

1054729175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 1054729175040 in words is "one trillion, fifty-four billion, seven hundred twenty-nine million, one hundred seventy-five thousand, forty".