10354211440 has 80 divisors (see below), whose sum is σ = 24597273888. Its totient is φ = 4052026368.

The previous prime is 10354211429. The next prime is 10354211467. The reversal of 10354211440 is 4411245301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10354211440³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1578247 + ... + 1584793.

Almost surely, 2^10354211440 is an apocalyptic number.

10354211440 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 10354211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12298636944).

10354211440 is an abundant number, since it is smaller than the sum of its proper divisors (14243062448).

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

10354211440 is a wasteful number, since it uses less digits than its factorization.

10354211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6986 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10354211440 its reverse (4411245301), we get a palindrome (14765456741).

The spelling of 10354211440 in words is "ten billion, three hundred fifty-four million, two hundred eleven thousand, four hundred forty".