4126496440 has 64 divisors (see below), whose sum is σ = 10155132000. Its totient is φ = 1496624640.

The previous prime is 4126496383. The next prime is 4126496461. The reversal of 4126496440 is 446946214.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4126496393 and 4126496402.

It is a congruent number.

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, 159106 + ... + 183214.

Almost surely, 2^4126496440 is an apocalyptic number.

4126496440 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 4126496440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077566000).

4126496440 is an abundant number, since it is smaller than the sum of its proper divisors (6028635560).

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

4126496440 is a wasteful number, since it uses less digits than its factorization.

4126496440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24520 (or 24516 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 4126496440 is about 64237.8116065608. The cubic root of 4126496440 is about 1603.9610762046.

The spelling of 4126496440 in words is "four billion, one hundred twenty-six million, four hundred ninety-six thousand, four hundred forty".