1626042040 has 256 divisors, whose sum is σ = 4673894400. Its totient is φ = 496336896.

The previous prime is 1626042037. The next prime is 1626042049. The reversal of 1626042040 is 402406261.

It is a junction number, because it is equal to n+sod(n) for n = 1626041996 and 1626042014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1626042049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11868852 + ... + 11868988.

It is an arithmetic number, because the mean of its divisors is an integer number (18257400).

Almost surely, 2^1626042040 is an apocalyptic number.

1626042040 is a gapful number since it is divisible by the number (10) 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 1626042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2336947200).

1626042040 is an abundant number, since it is smaller than the sum of its proper divisors (3047852360).

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

1626042040 is a wasteful number, since it uses less digits than its factorization.

1626042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 1626042040 is about 40324.2115855971. The cubic root of 1626042040 is about 1175.9185911684.

The spelling of 1626042040 in words is "one billion, six hundred twenty-six million, forty-two thousand, forty".