1010275728000 has 1536 divisors, whose sum is σ = 4501978341120. Its totient is φ = 197492736000.

The previous prime is 1010275727987. The next prime is 1010275728023. The reversal of 1010275728000 is 8275720101.

It is a super-3 number, since 3×1010275728000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 439822852 + ... + 439825148.

Almost surely, 2^{1010275728000} is an apocalyptic number.

1010275728000 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 1010275728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250989170560).

1010275728000 is an abundant number, since it is smaller than the sum of its proper divisors (3491702613120).

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

1010275728000 is a wasteful number, since it uses less digits than its factorization.

1010275728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2371 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 1010275728000 in words is "one trillion, ten billion, two hundred seventy-five million, seven hundred twenty-eight thousand".