21001001440 has 48 divisors (see below), whose sum is σ = 49672683648. Its totient is φ = 8390611456.

The previous prime is 21001001389. The next prime is 21001001453. The reversal of 21001001440 is 4410010012.

It is a super-2 number, since 2×21001001440² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21001001440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62034 + ... + 214126.

It is an arithmetic number, because the mean of its divisors is an integer number (1034847576).

Almost surely, 2^21001001440 is an apocalyptic number.

21001001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001001440 is an abundant number, since it is smaller than the sum of its proper divisors (28671682208).

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

21001001440 is a wasteful number, since it uses less digits than its factorization.

21001001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152971 (or 152963 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21001001440 its reverse (4410010012), we get a palindrome (25411011452).

The spelling of 21001001440 in words is "twenty-one billion, one million, one thousand, four hundred forty".