1051052882040 has 768 divisors, whose sum is σ = 4341409228800. Its totient is φ = 220800577536.

The previous prime is 1051052882029. The next prime is 1051052882053. The reversal of 1051052882040 is 402882501501.

1051052882040 is a `hidden beast` number, since 1 + 0 + 5 + 10 + 528 + 82 + 0 + 40 = 666.

It is a super-3 number, since 3×1051052882040³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1051052881986 and 1051052882004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 237631269 + ... + 237635691.

It is an arithmetic number, because the mean of its divisors is an integer number (5652876600).

Almost surely, 2^{1051052882040} is an apocalyptic number.

1051052882040 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 1051052882040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170704614400).

1051052882040 is an abundant number, since it is smaller than the sum of its proper divisors (3290356346760).

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

1051052882040 is a wasteful number, since it uses less digits than its factorization.

1051052882040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 1051052882040 in words is "one trillion, fifty-one billion, fifty-two million, eight hundred eighty-two thousand, forty".