40435840 has 128 divisors (see below), whose sum is σ = 104872320. Its totient is φ = 14868480.

The previous prime is 40435823. The next prime is 40435847. The reversal of 40435840 is 4853404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 40435799 and 40435808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40435847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603487 + ... + 603553.

It is an arithmetic number, because the mean of its divisors is an integer number (819315).

Almost surely, 2^40435840 is an apocalyptic number.

40435840 is a gapful number since it is divisible by the number (40) 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 40435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436160).

40435840 is an abundant number, since it is smaller than the sum of its proper divisors (64436480).

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

40435840 is a wasteful number, since it uses less digits than its factorization.

40435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 40435840 is about 6358.9181469807. The cubic root of 40435840 is about 343.2328315717.

The spelling of 40435840 in words is "forty million, four hundred thirty-five thousand, eight hundred forty".