10436069335440 has 320 divisors, whose sum is σ = 37219529797632. Its totient is φ = 2369567385600.

The previous prime is 10436069335409. The next prime is 10436069335481. The reversal of 10436069335440 is 4453396063401.

It is a super-2 number, since 2×10436069335440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10436069335440.

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, 153052555 + ... + 153120725.

Almost surely, 2^{10436069335440} is an apocalyptic number.

10436069335440 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 10436069335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18609764898816).

10436069335440 is an abundant number, since it is smaller than the sum of its proper divisors (26783460462192).

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

10436069335440 is a wasteful number, since it uses less digits than its factorization.

10436069335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68798 (or 68792 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 10436069335440 in words is "ten trillion, four hundred thirty-six billion, sixty-nine million, three hundred thirty-five thousand, four hundred forty".