1010829238272 has 1008 divisors, whose sum is σ = 3619409425632. Its totient is φ = 280921374720.

The previous prime is 1010829238271. The next prime is 1010829238277. The reversal of 1010829238272 is 2728329280101.

1010829238272 is a `hidden beast` number, since 10 + 108 + 2 + 92 + 382 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (1010829238271) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4194312072 + ... + 4194312312.

It is an arithmetic number, because the mean of its divisors is an integer number (3590683954).

Almost surely, 2^{1010829238272} is an apocalyptic number.

1010829238272 is a gapful number since it is divisible by the number (12) 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 1010829238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809704712816).

1010829238272 is an abundant number, since it is smaller than the sum of its proper divisors (2608580187360).

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

1010829238272 is an frugal number, since it uses more digits than its factorization.

1010829238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1010829238272 in words is "one trillion, ten billion, eight hundred twenty-nine million, two hundred thirty-eight thousand, two hundred seventy-two".