1050825415640 has 512 divisors, whose sum is σ = 3300321024000. Its totient is φ = 290458828800.

The previous prime is 1050825415621. The next prime is 1050825415681. The reversal of 1050825415640 is 465145280501.

It is a super-2 number, since 2×1050825415640² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245002616 + ... + 245006904.

It is an arithmetic number, because the mean of its divisors is an integer number (6445939500).

Almost surely, 2^{1050825415640} is an apocalyptic number.

1050825415640 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 1050825415640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650160512000).

1050825415640 is an abundant number, since it is smaller than the sum of its proper divisors (2249495608360).

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

1050825415640 is a wasteful number, since it uses less digits than its factorization.

1050825415640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571 (or 4567 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The spelling of 1050825415640 in words is "one trillion, fifty billion, eight hundred twenty-five million, four hundred fifteen thousand, six hundred forty".