1029551071104 has 512 divisors, whose sum is σ = 3375654912000. Its totient is φ = 307258490880.

The previous prime is 1029551071103. The next prime is 1029551071123. The reversal of 1029551071104 is 4011701559201.

1029551071104 is a `hidden beast` number, since 1 + 0 + 29 + 5 + 510 + 7 + 110 + 4 = 666.

It is a super-2 number, since 2×1029551071104² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029551071103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258095542 + ... + 258099530.

It is an arithmetic number, because the mean of its divisors is an integer number (6593076000).

Almost surely, 2^{1029551071104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1029551071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687827456000).

1029551071104 is an abundant number, since it is smaller than the sum of its proper divisors (2346103840896).

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

1029551071104 is a wasteful number, since it uses less digits than its factorization.

1029551071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4243 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The spelling of 1029551071104 in words is "one trillion, twenty-nine billion, five hundred fifty-one million, seventy-one thousand, one hundred four".