10406443140 has 192 divisors, whose sum is σ = 33342865920. Its totient is φ = 2692569600.

The previous prime is 10406443123. The next prime is 10406443147. The reversal of 10406443140 is 4134460401.

10406443140 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 644 + 3 + 14 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10406443147) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14005609 + ... + 14006351.

It is an arithmetic number, because the mean of its divisors is an integer number (173660760).

Almost surely, 2^10406443140 is an apocalyptic number.

10406443140 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 10406443140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16671432960).

10406443140 is an abundant number, since it is smaller than the sum of its proper divisors (22936422780).

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

10406443140 is a wasteful number, since it uses less digits than its factorization.

10406443140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 10406443140 in words is "ten billion, four hundred six million, four hundred forty-three thousand, one hundred forty".