4213437840 has 240 divisors, whose sum is σ = 14704438320. Its totient is φ = 1079930880.

The previous prime is 4213437829. The next prime is 4213437841. The reversal of 4213437840 is 487343124.

4213437840 is a `hidden beast` number, since 4 + 213 + 437 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 33039504 + 4180398336 = 5748^2 + 64656^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4213437795 and 4213437804.

It is not an unprimeable number, because it can be changed into a prime (4213437841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7787970 + ... + 7788510.

It is an arithmetic number, because the mean of its divisors is an integer number (61268493).

Almost surely, 2^4213437840 is an apocalyptic number.

4213437840 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 4213437840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352219160).

4213437840 is an abundant number, since it is smaller than the sum of its proper divisors (10491000480).

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

4213437840 is a wasteful number, since it uses less digits than its factorization.

4213437840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4213437840 is about 64910.9993760688. Note that the first 3 decimals coincide. The cubic root of 4213437840 is about 1615.1475281143.

The spelling of 4213437840 in words is "four billion, two hundred thirteen million, four hundred thirty-seven thousand, eight hundred forty".