10281367220400 has 180 divisors, whose sum is σ = 35720746673560. Its totient is φ = 2738505369600.

The previous prime is 10281367220339. The next prime is 10281367220419. The reversal of 10281367220400 is 402276318201.

It is a happy number.

10281367220400 is a `hidden beast` number, since 1 + 0 + 28 + 1 + 3 + 6 + 7 + 220 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1430040 + ... + 4754760.

Almost surely, 2^{10281367220400} is an apocalyptic number.

10281367220400 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 10281367220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860373336780).

10281367220400 is an abundant number, since it is smaller than the sum of its proper divisors (25439379453160).

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

10281367220400 is a wasteful number, since it uses less digits than its factorization.

10281367220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325604 (or 3325590 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10281367220400 in words is "ten trillion, two hundred eighty-one billion, three hundred sixty-seven million, two hundred twenty thousand, four hundred".