10414886040 has 320 divisors, whose sum is σ = 38507736960. Its totient is φ = 2508641280.

The previous prime is 10414886033. The next prime is 10414886063. The reversal of 10414886040 is 4068841401.

10414886040 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 48 + 8 + 604 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10414885986 and 10414886004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1977010 + ... + 1982270.

It is an arithmetic number, because the mean of its divisors is an integer number (120336678).

Almost surely, 2^10414886040 is an apocalyptic number.

10414886040 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 10414886040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253868480).

10414886040 is an abundant number, since it is smaller than the sum of its proper divisors (28092850920).

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

10414886040 is a wasteful number, since it uses less digits than its factorization.

10414886040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10414886040 in words is "ten billion, four hundred fourteen million, eight hundred eighty-six thousand, forty".