1051305295040 has 224 divisors, whose sum is σ = 3361237254144. Its totient is φ = 302473359360.

The previous prime is 1051305295037. The next prime is 1051305295091. The reversal of 1051305295040 is 405925031501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×1051305295040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320704 + ... + 1961343.

It is an arithmetic number, because the mean of its divisors is an integer number (15005523456).

Almost surely, 2^{1051305295040} is an apocalyptic number.

1051305295040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051305295040 is an abundant number, since it is smaller than the sum of its proper divisors (2309931959104).

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

1051305295040 is a wasteful number, since it uses less digits than its factorization.

1051305295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282095 (or 3282085 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 1051305295040 in words is "one trillion, fifty-one billion, three hundred five million, two hundred ninety-five thousand, forty".