1461983040 has 448 divisors, whose sum is σ = 6156472320. Its totient is φ = 319334400.

The previous prime is 1461983027. The next prime is 1461983041. The reversal of 1461983040 is 403891641.

1461983040 is a `hidden beast` number, since 1 + 4 + 619 + 8 + 30 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 1461982986 and 1461983004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461983041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390515 + ... + 1391565.

Almost surely, 2^1461983040 is an apocalyptic number.

1461983040 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 1461983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3078236160).

1461983040 is an abundant number, since it is smaller than the sum of its proper divisors (4694489280).

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

1461983040 is a wasteful number, since it uses less digits than its factorization.

1461983040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1461983040 is about 38235.8868080760. The cubic root of 1461983040 is about 1134.9605813449.

The spelling of 1461983040 in words is "one billion, four hundred sixty-one million, nine hundred eighty-three thousand, forty".