4153437540 has 192 divisors, whose sum is σ = 15010705920. Its totient is φ = 933742080.

The previous prime is 4153437539. The next prime is 4153437557. The reversal of 4153437540 is 457343514.

4153437540 is a `hidden beast` number, since 41 + 534 + 37 + 54 + 0 = 666.

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 = 4153437495 and 4153437504.

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 63 ways as a sum of consecutive naturals, for example, 221574 + ... + 239586.

It is an arithmetic number, because the mean of its divisors is an integer number (78180760).

Almost surely, 2^4153437540 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 4153437540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505352960).

4153437540 is an abundant number, since it is smaller than the sum of its proper divisors (10857268380).

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

4153437540 is a wasteful number, since it uses less digits than its factorization.

4153437540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18099 (or 18091 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4153437540 is about 64447.1685956800. The cubic root of 4153437540 is about 1607.4441579606. Note that the first 3 decimals are identical.

The spelling of 4153437540 in words is "four billion, one hundred fifty-three million, four hundred thirty-seven thousand, five hundred forty".