10435870440 has 256 divisors, whose sum is σ = 35596800000. Its totient is φ = 2718676224.

The previous prime is 10435870439. The next prime is 10435870513. The reversal of 10435870440 is 4407853401.

10435870440 is a `hidden beast` number, since 104 + 35 + 87 + 0 + 440 = 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 = 10435870395 and 10435870404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12679869 + ... + 12680691.

It is an arithmetic number, because the mean of its divisors is an integer number (139050000).

Almost surely, 2^10435870440 is an apocalyptic number.

10435870440 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 10435870440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17798400000).

10435870440 is an abundant number, since it is smaller than the sum of its proper divisors (25160929560).

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

10435870440 is a wasteful number, since it uses less digits than its factorization.

10435870440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10435870440 in words is "ten billion, four hundred thirty-five million, eight hundred seventy thousand, four hundred forty".