10407060891450 has 144 divisors (see below), whose sum is σ = 28867798342656. Its totient is φ = 2686208313600.

The previous prime is 10407060891443. The next prime is 10407060891473. The reversal of 10407060891450 is 5419806070401.

10407060891450 is a `hidden beast` number, since 1 + 0 + 40 + 70 + 6 + 0 + 8 + 91 + 450 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10407060891396 and 10407060891405.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122409 + ... + 4563891.

It is an arithmetic number, because the mean of its divisors is an integer number (200470821824).

Almost surely, 2^{10407060891450} is an apocalyptic number.

10407060891450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10407060891450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14433899171328).

10407060891450 is an abundant number, since it is smaller than the sum of its proper divisors (18460737451206).

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

10407060891450 is a wasteful number, since it uses less digits than its factorization.

10407060891450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4441669 (or 4441661 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10407060891450 in words is "ten trillion, four hundred seven billion, sixty million, eight hundred ninety-one thousand, four hundred fifty".