10120321440 has 120 divisors (see below), whose sum is σ = 35716346820. Its totient is φ = 2698748928.

The previous prime is 10120321427. The next prime is 10120321447. The reversal of 10120321440 is 4412302101.

10120321440 is a `hidden beast` number, since 1 + 0 + 1 + 203 + 21 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9468846864 + 651474576 = 97308^2 + 25524^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10120321447) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 377485 + ... + 403404.

Almost surely, 2^10120321440 is an apocalyptic number.

10120321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120321440 is an abundant number, since it is smaller than the sum of its proper divisors (25596025380).

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

10120321440 is an equidigital number, since it uses as much as digits as its factorization.

10120321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780916 (or 780899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10120321440 its reverse (4412302101), we get a palindrome (14532623541).

The spelling of 10120321440 in words is "ten billion, one hundred twenty million, three hundred twenty-one thousand, four hundred forty".