10408357440 has 1120 divisors, whose sum is σ = 44611015680. Its totient is φ = 2277310464.

The previous prime is 10408357429. The next prime is 10408357469. The reversal of 10408357440 is 4475380401.

10408357440 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 83 + 574 + 4 + 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 = 10408357395 and 10408357404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 131751321 + ... + 131751399.

It is an arithmetic number, because the mean of its divisors is an integer number (39831264).

Almost surely, 2^10408357440 is an apocalyptic number.

10408357440 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 10408357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22305507840).

10408357440 is an abundant number, since it is smaller than the sum of its proper divisors (34202658240).

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

10408357440 is a wasteful number, since it uses less digits than its factorization.

10408357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10408357440 in words is "ten billion, four hundred eight million, three hundred fifty-seven thousand, four hundred forty".