10419416370 has 320 divisors, whose sum is σ = 31614105600. Its totient is φ = 2440679040.

The previous prime is 10419416347. The next prime is 10419416383. The reversal of 10419416370 is 7361491401.

10419416370 is a `hidden beast` number, since 1 + 0 + 4 + 19 + 4 + 1 + 637 + 0 = 666.

10419416370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58208941 + ... + 58209119.

It is an arithmetic number, because the mean of its divisors is an integer number (98794080).

Almost surely, 2^10419416370 is an apocalyptic number.

10419416370 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 10419416370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807052800).

10419416370 is an abundant number, since it is smaller than the sum of its proper divisors (21194689230).

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

10419416370 is a wasteful number, since it uses less digits than its factorization.

10419416370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10419416370 in words is "ten billion, four hundred nineteen million, four hundred sixteen thousand, three hundred seventy".