4156821504 has 520 divisors, whose sum is σ = 14557438368. Its totient is φ = 1167851520.

The previous prime is 4156821497. The next prime is 4156821509. The reversal of 4156821504 is 4051286514.

It is a happy number.

4156821504 is a `hidden beast` number, since 41 + 568 + 2 + 1 + 50 + 4 = 666.

It is a super-2 number, since 2×4156821504² = 34558330032233644032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4156821509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62042079 + ... + 62042145.

Almost surely, 2^4156821504 is an apocalyptic number.

4156821504 is a gapful number since it is divisible by the number (44) 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 4156821504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278719184).

4156821504 is an abundant number, since it is smaller than the sum of its proper divisors (10400616864).

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

4156821504 is a wasteful number, since it uses less digits than its factorization.

4156821504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 4156821504 is about 64473.4170336892. The cubic root of 4156821504 is about 1607.8805881475.

The spelling of 4156821504 in words is "four billion, one hundred fifty-six million, eight hundred twenty-one thousand, five hundred four".