4291269840 has 600 divisors, whose sum is σ = 17684404584. Its totient is φ = 958003200.

The previous prime is 4291269823. The next prime is 4291269869. The reversal of 4291269840 is 489621924.

It can be written as a sum of positive squares in 4 ways, for example, as 226442304 + 4064827536 = 15048^2 + 63756^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10192830 + ... + 10193250.

Almost surely, 2^4291269840 is an apocalyptic number.

4291269840 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 4291269840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842202292).

4291269840 is an abundant number, since it is smaller than the sum of its proper divisors (13393134744).

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

4291269840 is a wasteful number, since it uses less digits than its factorization.

4291269840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 4291269840 is about 65507.7845755754. The cubic root of 4291269840 is about 1625.0320896227.

The spelling of 4291269840 in words is "four billion, two hundred ninety-one million, two hundred sixty-nine thousand, eight hundred forty".