4211555040 has 576 divisors, whose sum is σ = 18533007360. Its totient is φ = 874368000.

The previous prime is 4211555039. The next prime is 4211555053. The reversal of 4211555040 is 405551124.

4211555040 is a `hidden beast` number, since 4 + 2 + 1 + 155 + 504 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4211554995 and 4211555013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3658465 + ... + 3659615.

It is an arithmetic number, because the mean of its divisors is an integer number (32175360).

Almost surely, 2^4211555040 is an apocalyptic number.

4211555040 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 4211555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9266503680).

4211555040 is an abundant number, since it is smaller than the sum of its proper divisors (14321452320).

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

4211555040 is a wasteful number, since it uses less digits than its factorization.

4211555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 4211555040 is about 64896.4948205987. The cubic root of 4211555040 is about 1614.9069128133.

The spelling of 4211555040 in words is "four billion, two hundred eleven million, five hundred fifty-five thousand, forty".