1741409640 has 96 divisors (see below), whose sum is σ = 5731315200. Its totient is φ = 458490240.

The previous prime is 1741409629. The next prime is 1741409647. The reversal of 1741409640 is 469041471.

1741409640 is a `hidden beast` number, since 1 + 7 + 4 + 1 + 4 + 0 + 9 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1741409595 and 1741409604.

It is not an unprimeable number, because it can be changed into a prime (1741409647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2176 + ... + 59055.

It is an arithmetic number, because the mean of its divisors is an integer number (59701200).

Almost surely, 2^1741409640 is an apocalyptic number.

1741409640 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 1741409640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865657600).

1741409640 is an abundant number, since it is smaller than the sum of its proper divisors (3989905560).

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

1741409640 is a wasteful number, since it uses less digits than its factorization.

1741409640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61327 (or 61320 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1741409640 is about 41730.2005746438. The cubic root of 1741409640 is about 1203.0960883276.

The spelling of 1741409640 in words is "one billion, seven hundred forty-one million, four hundred nine thousand, six hundred forty".