10413977578290 has 1024 divisors, whose sum is σ = 36012559564800. Its totient is φ = 2101535539200.

The previous prime is 10413977578253. The next prime is 10413977578337. The reversal of 10413977578290 is 9287577931401.

10413977578290 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 39 + 7 + 7 + 578 + 29 + 0 = 666.

It is a super-2 number, since 2×10413977578290² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2095786926 + ... + 2095791894.

It is an arithmetic number, because the mean of its divisors is an integer number (35168515200).

Almost surely, 2^{10413977578290} is an apocalyptic number.

10413977578290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10413977578290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006279782400).

10413977578290 is an abundant number, since it is smaller than the sum of its proper divisors (25598581986510).

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

10413977578290 is a wasteful number, since it uses less digits than its factorization.

10413977578290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5160 (or 5154 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 10413977578290 in words is "ten trillion, four hundred thirteen billion, nine hundred seventy-seven million, five hundred seventy-eight thousand, two hundred ninety".