10274820940800 has 1584 divisors, whose sum is σ = 41909642611200. Its totient is φ = 2387017728000.

The previous prime is 10274820940771. The next prime is 10274820940807. The reversal of 10274820940800 is 804902847201.

10274820940800 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 482 + 0 + 94 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10274820940807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3806897851 + ... + 3806900549.

Almost surely, 2^{10274820940800} is an apocalyptic number.

10274820940800 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 10274820940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20954821305600).

10274820940800 is an abundant number, since it is smaller than the sum of its proper divisors (31634821670400).

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

10274820940800 is a wasteful number, since it uses less digits than its factorization.

10274820940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10274820940800 in words is "ten trillion, two hundred seventy-four billion, eight hundred twenty million, nine hundred forty thousand, eight hundred".