10409371687440 has 640 divisors, whose sum is σ = 41196277555200. Its totient is φ = 2389296476160.

The previous prime is 10409371687423. The next prime is 10409371687531. The reversal of 10409371687440 is 4478617390401.

It is a happy number.

10409371687440 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 9 + 37 + 168 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 931315132 + ... + 931326308.

It is an arithmetic number, because the mean of its divisors is an integer number (64369183680).

Almost surely, 2^{10409371687440} is an apocalyptic number.

10409371687440 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 10409371687440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20598138777600).

10409371687440 is an abundant number, since it is smaller than the sum of its proper divisors (30786905867760).

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

10409371687440 is a wasteful number, since it uses less digits than its factorization.

10409371687440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13292 (or 13280 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 10409371687440 in words is "ten trillion, four hundred nine billion, three hundred seventy-one million, six hundred eighty-seven thousand, four hundred forty".