10335493440 has 336 divisors, whose sum is σ = 37285867008. Its totient is φ = 2622799872.

The previous prime is 10335493409. The next prime is 10335493481. The reversal of 10335493440 is 4439453301.

10335493440 is a `hidden beast` number, since 10 + 33 + 549 + 34 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10335493395 and 10335493404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22322649 + ... + 22323111.

Almost surely, 2^10335493440 is an apocalyptic number.

10335493440 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 10335493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18642933504).

10335493440 is an abundant number, since it is smaller than the sum of its proper divisors (26950373568).

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

10335493440 is a wasteful number, since it uses less digits than its factorization.

10335493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 10335493440 in words is "ten billion, three hundred thirty-five million, four hundred ninety-three thousand, four hundred forty".