5106446240 has 96 divisors (see below), whose sum is σ = 13962170880. Its totient is φ = 1728589824.

The previous prime is 5106446231. The next prime is 5106446273. The reversal of 5106446240 is 426446015.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 5106446197 and 5106446206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59624 + ... + 117336.

It is an arithmetic number, because the mean of its divisors is an integer number (145439280).

Almost surely, 2^5106446240 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 5106446240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6981085440).

5106446240 is an abundant number, since it is smaller than the sum of its proper divisors (8855724640).

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

5106446240 is a wasteful number, since it uses less digits than its factorization.

5106446240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57814 (or 57806 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 5106446240 is about 71459.4027402972. The cubic root of 5106446240 is about 1722.0255387152.

The spelling of 5106446240 in words is "five billion, one hundred six million, four hundred forty-six thousand, two hundred forty".