4015856340 has 192 divisors, whose sum is σ = 13251974400. Its totient is φ = 1006774272.

The previous prime is 4015856329. The next prime is 4015856381. The reversal of 4015856340 is 436585104.

It is a happy number.

4015856340 is a `hidden beast` number, since 4 + 0 + 1 + 58 + 563 + 40 = 666.

It is a super-2 number, since 2×4015856340² = 32254204287036391200, which contains 22 as substring.

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 = 4015856295 and 4015856304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1404192 + ... + 1407048.

It is an arithmetic number, because the mean of its divisors is an integer number (69020700).

Almost surely, 2^4015856340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4015856340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625987200).

4015856340 is an abundant number, since it is smaller than the sum of its proper divisors (9236118060).

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

4015856340 is a wasteful number, since it uses less digits than its factorization.

4015856340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3031 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4015856340 is about 63370.7845935333. The cubic root of 4015856340 is about 1589.4958173587.

The spelling of 4015856340 in words is "four billion, fifteen million, eight hundred fifty-six thousand, three hundred forty".