4054346240 has 120 divisors (see below), whose sum is σ = 11308368852. Its totient is φ = 1390018560.

The previous prime is 4054346207. The next prime is 4054346287. The reversal of 4054346240 is 426434504.

It can be written as a sum of positive squares in 2 ways, for example, as 3976059136 + 78287104 = 63056^2 + 8848^2 .

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 = 4054346197 and 4054346206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109280 + ... + 141600.

Almost surely, 2^4054346240 is an apocalyptic number.

4054346240 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 4054346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5654184426).

4054346240 is an abundant number, since it is smaller than the sum of its proper divisors (7254022612).

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

4054346240 is an equidigital number, since it uses as much as digits as its factorization.

4054346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32358 (or 32335 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

The square root of 4054346240 is about 63673.7484368558. The cubic root of 4054346240 is about 1594.5578436543.

The spelling of 4054346240 in words is "four billion, fifty-four million, three hundred forty-six thousand, two hundred forty".