1612641040 has 80 divisors (see below), whose sum is σ = 3847985856. Its totient is φ = 628185600.

The previous prime is 1612641013. The next prime is 1612641127. The reversal of 1612641040 is 401462161.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1612641040² = 5201222247784563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1612640996 and 1612641014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1963830 + ... + 1964650.

Almost surely, 2^1612641040 is an apocalyptic number.

1612641040 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 1612641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923992928).

1612641040 is an abundant number, since it is smaller than the sum of its proper divisors (2235344816).

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

1612641040 is a wasteful number, since it uses less digits than its factorization.

1612641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 1612641040 is about 40157.7021254952. The cubic root of 1612641040 is about 1172.6792375595.

The spelling of 1612641040 in words is "one billion, six hundred twelve million, six hundred forty-one thousand, forty".