4016855040 has 192 divisors, whose sum is σ = 14020231680. Its totient is φ = 973701120.

The previous prime is 4016855027. The next prime is 4016855041. The reversal of 4016855040 is 405586104.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4016855040² = 32270248824746803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 4016854992 and 4016855010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016855041) 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, 331977 + ... + 343863.

It is an arithmetic number, because the mean of its divisors is an integer number (73022040).

Almost surely, 2^4016855040 is an apocalyptic number.

4016855040 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 4016855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7010115840).

4016855040 is an abundant number, since it is smaller than the sum of its proper divisors (10003376640).

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

4016855040 is a wasteful number, since it uses less digits than its factorization.

4016855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11928 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 4016855040 is about 63378.6639177571. The cubic root of 4016855040 is about 1589.6275699053.

The spelling of 4016855040 in words is "four billion, sixteen million, eight hundred fifty-five thousand, forty".