10446485040 has 240 divisors, whose sum is σ = 37231822368. Its totient is φ = 2615844864.

The previous prime is 10446485017. The next prime is 10446485053. The reversal of 10446485040 is 4058464401.

It is a happy number.

10446485040 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 648 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 10446484986 and 10446485004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7992067 + ... + 7993373.

Almost surely, 2^10446485040 is an apocalyptic number.

10446485040 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 10446485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615911184).

10446485040 is an abundant number, since it is smaller than the sum of its proper divisors (26785337328).

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

10446485040 is a wasteful number, since it uses less digits than its factorization.

10446485040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 10446485040 in words is "ten billion, four hundred forty-six million, four hundred eighty-five thousand, forty".