10460890440 has 1296 divisors, whose sum is σ = 48695037300. Its totient is φ = 1937295360.

The previous prime is 10460890367. The next prime is 10460890457. The reversal of 10460890440 is 4409806401.

It is a happy number.

10460890440 is a `hidden beast` number, since 1 + 0 + 4 + 608 + 9 + 0 + 4 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1137443076 + 9323447364 = 33726^2 + 96558^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 10460890395 and 10460890404.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 360720346 + ... + 360720374.

Almost surely, 2^10460890440 is an apocalyptic number.

10460890440 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 10460890440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24347518650).

10460890440 is an abundant number, since it is smaller than the sum of its proper divisors (38234146860).

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

10460890440 is a wasteful number, since it uses less digits than its factorization.

10460890440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10460890440 in words is "ten billion, four hundred sixty million, eight hundred ninety thousand, four hundred forty".