10035841920 has 384 divisors, whose sum is σ = 35036828640. Its totient is φ = 2442166272.

The previous prime is 10035841913. The next prime is 10035841943. The reversal of 10035841920 is 2914853001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×10035841920³ (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 47 ways as a sum of consecutive naturals, for example, 50943262 + ... + 50943458.

Almost surely, 2^10035841920 is an apocalyptic number.

10035841920 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 10035841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518414320).

10035841920 is an abundant number, since it is smaller than the sum of its proper divisors (25000986720).

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

10035841920 is a wasteful number, since it uses less digits than its factorization.

10035841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10035841920 in words is "ten billion, thirty-five million, eight hundred forty-one thousand, nine hundred twenty".