10335475040 has 288 divisors, whose sum is σ = 29528978976. Its totient is φ = 3378298880.

The previous prime is 10335475019. The next prime is 10335475061. The reversal of 10335475040 is 4057453301.

It is an interprime number because it is at equal distance from previous prime (10335475019) and next prime (10335475061).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10335474988 and 10335475006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15827354 + ... + 15828006.

It is an arithmetic number, because the mean of its divisors is an integer number (102531177).

Almost surely, 2^10335475040 is an apocalyptic number.

10335475040 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 10335475040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764489488).

10335475040 is an abundant number, since it is smaller than the sum of its proper divisors (19193503936).

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

10335475040 is a wasteful number, since it uses less digits than its factorization.

10335475040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The spelling of 10335475040 in words is "ten billion, three hundred thirty-five million, four hundred seventy-five thousand, forty".