10201321440 has 120 divisors (see below), whose sum is σ = 36002209320. Its totient is φ = 2720348928.

The previous prime is 10201321423. The next prime is 10201321457. The reversal of 10201321440 is 4412310201.

10201321440 is a `hidden beast` number, since 1 + 0 + 201 + 3 + 21 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (10201321423) and next prime (10201321457).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 380610 + ... + 406529.

It is an arithmetic number, because the mean of its divisors is an integer number (300018411).

Almost surely, 2^10201321440 is an apocalyptic number.

10201321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201321440 is an abundant number, since it is smaller than the sum of its proper divisors (25800887880).

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

10201321440 is an equidigital number, since it uses as much as digits as its factorization.

10201321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787166 (or 787149 counting only the distinct ones).

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

Adding to 10201321440 its reverse (4412310201), we get a palindrome (14613631641).

The spelling of 10201321440 in words is "ten billion, two hundred one million, three hundred twenty-one thousand, four hundred forty".