10407991415040 has 576 divisors, whose sum is σ = 39195753811200. Its totient is φ = 2606239973376.

The previous prime is 10407991415009. The next prime is 10407991415053. The reversal of 10407991415040 is 4051419970401.

10407991415040 is a `hidden beast` number, since 1 + 0 + 40 + 7 + 99 + 14 + 1 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 260251366 + ... + 260291354.

It is an arithmetic number, because the mean of its divisors is an integer number (68048183700).

Almost surely, 2^{10407991415040} is an apocalyptic number.

10407991415040 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 10407991415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19597876905600).

10407991415040 is an abundant number, since it is smaller than the sum of its proper divisors (28787762396160).

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

10407991415040 is a wasteful number, since it uses less digits than its factorization.

10407991415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40479 (or 40459 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 10407991415040 in words is "ten trillion, four hundred seven billion, nine hundred ninety-one million, four hundred fifteen thousand, forty".