10434121440 has 48 divisors (see below), whose sum is σ = 32867484048. Its totient is φ = 2782432256.

The previous prime is 10434121427. The next prime is 10434121457. The reversal of 10434121440 is 4412143401.

10434121440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10434121440.

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, 10868397 + ... + 10869356.

It is an arithmetic number, because the mean of its divisors is an integer number (684739251).

Almost surely, 2^10434121440 is an apocalyptic number.

10434121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10434121440 is an abundant number, since it is smaller than the sum of its proper divisors (22433362608).

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

10434121440 is a wasteful number, since it uses less digits than its factorization.

10434121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21737771 (or 21737763 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10434121440 its reverse (4412143401), we get a palindrome (14846264841).

The spelling of 10434121440 in words is "ten billion, four hundred thirty-four million, one hundred twenty-one thousand, four hundred forty".