10337725440 has 528 divisors, whose sum is σ = 42489038592. Its totient is φ = 2360918016.

The previous prime is 10337725427. The next prime is 10337725459. The reversal of 10337725440 is 4452773301.

10337725440 is a `hidden beast` number, since 10 + 3 + 37 + 72 + 544 + 0 = 666.

It is a super-3 number, since 3×10337725440³ (a number of 31 digits) contains 333 as substring.

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 = 10337725395 and 10337725404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8708527 + ... + 8709713.

It is an arithmetic number, because the mean of its divisors is an integer number (80471664).

Almost surely, 2^10337725440 is an apocalyptic number.

10337725440 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 10337725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244519296).

10337725440 is an abundant number, since it is smaller than the sum of its proper divisors (32151313152).

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

10337725440 is an equidigital number, since it uses as much as digits as its factorization.

10337725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 10337725440 in words is "ten billion, three hundred thirty-seven million, seven hundred twenty-five thousand, four hundred forty".