1051006109040 has 120 divisors (see below), whose sum is σ = 3530687771520. Its totient is φ = 280184212992.

The previous prime is 1051006109011. The next prime is 1051006109047. The reversal of 1051006109040 is 409016001501.

1051006109040 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 0 + 610 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1051006109040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1051006108995 and 1051006109013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051006109047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2201194 + ... + 2635766.

It is an arithmetic number, because the mean of its divisors is an integer number (29422398096).

Almost surely, 2^{1051006109040} is an apocalyptic number.

1051006109040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051006109040 is an abundant number, since it is smaller than the sum of its proper divisors (2479681662480).

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

1051006109040 is a wasteful number, since it uses less digits than its factorization.

1051006109040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437951 (or 437942 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1051006109040 in words is "one trillion, fifty-one billion, six million, one hundred nine thousand, forty".