10407082798080 has 440 divisors, whose sum is σ = 37353141466080. Its totient is φ = 2770754273280.

The previous prime is 10407082798069. The next prime is 10407082798159. The reversal of 10407082798080 is 8089728070401.

It is a happy number.

10407082798080 is a `hidden beast` number, since 1 + 0 + 407 + 0 + 82 + 7 + 9 + 80 + 80 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 261668436 + ... + 261708204.

It is an arithmetic number, because the mean of its divisors is an integer number (84893503332).

Almost surely, 2^{10407082798080} is an apocalyptic number.

10407082798080 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 10407082798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18676570733040).

10407082798080 is an abundant number, since it is smaller than the sum of its proper divisors (26946058668000).

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

10407082798080 is an equidigital number, since it uses as much as digits as its factorization.

10407082798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40437 (or 40410 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 10407082798080 in words is "ten trillion, four hundred seven billion, eighty-two million, seven hundred ninety-eight thousand, eighty".