1461101640 has 32 divisors (see below), whose sum is σ = 4383305280. Its totient is φ = 389627072.

The previous prime is 1461101627. The next prime is 1461101651. The reversal of 1461101640 is 461011641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1461101640.

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 7 ways as a sum of consecutive naturals, for example, 6087804 + ... + 6088043.

It is an arithmetic number, because the mean of its divisors is an integer number (136978290).

Almost surely, 2^1461101640 is an apocalyptic number.

1461101640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461101640 is an abundant number, since it is smaller than the sum of its proper divisors (2922203640).

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

1461101640 is a wasteful number, since it uses less digits than its factorization.

1461101640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12175861 (or 12175857 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1461101640 is about 38224.3592490443. The cubic root of 1461101640 is about 1134.7324539026.

The spelling of 1461101640 in words is "one billion, four hundred sixty-one million, one hundred one thousand, six hundred forty".