10409495040 has 960 divisors, whose sum is σ = 44939980800. Its totient is φ = 2173796352.

The previous prime is 10409495023. The next prime is 10409495069. The reversal of 10409495040 is 4059490401.

It is a happy number.

10409495040 is a `hidden beast` number, since 104 + 0 + 9 + 49 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 10409494986 and 10409495004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131765721 + ... + 131765799.

It is an arithmetic number, because the mean of its divisors is an integer number (46812480).

Almost surely, 2^10409495040 is an apocalyptic number.

10409495040 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 10409495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22469990400).

10409495040 is an abundant number, since it is smaller than the sum of its proper divisors (34530485760).

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

10409495040 is a wasteful number, since it uses less digits than its factorization.

10409495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10409495040 in words is "ten billion, four hundred nine million, four hundred ninety-five thousand, forty".