4155420672 has 468 divisors, whose sum is σ = 14030200080. Its totient is φ = 1180827648.

The previous prime is 4155420667. The next prime is 4155420673. The reversal of 4155420672 is 2760245514.

It is a happy number.

4155420672 is a `hidden beast` number, since 41 + 5 + 542 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a super-2 number, since 2×4155420672² = 34535041922569863168, 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 (4155420673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 143290354 + ... + 143290382.

It is an arithmetic number, because the mean of its divisors is an integer number (29979060).

Almost surely, 2^4155420672 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 4155420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015100040).

4155420672 is an abundant number, since it is smaller than the sum of its proper divisors (9874779408).

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

4155420672 is a wasteful number, since it uses less digits than its factorization.

4155420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4155420672 is about 64462.5524781636. The cubic root of 4155420672 is about 1607.6999514408.

It can be divided in two parts, 41554 and 20672, that added together give a palindrome (62226).

The spelling of 4155420672 in words is "four billion, one hundred fifty-five million, four hundred twenty thousand, six hundred seventy-two".