1461342919680 has 1408 divisors, whose sum is σ = 6100612853760. Its totient is φ = 324875059200.

The previous prime is 1461342919609. The next prime is 1461342919681. The reversal of 1461342919680 is 869192431641.

1461342919680 is a `hidden beast` number, since 1 + 4 + 613 + 4 + 2 + 9 + 19 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461342919681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9677767605 + ... + 9677767755.

Almost surely, 2^{1461342919680} is an apocalyptic number.

1461342919680 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 1461342919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050306426880).

1461342919680 is an abundant number, since it is smaller than the sum of its proper divisors (4639269934080).

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

1461342919680 is a wasteful number, since it uses less digits than its factorization.

1461342919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1461342919680 in words is "one trillion, four hundred sixty-one billion, three hundred forty-two million, nine hundred nineteen thousand, six hundred eighty".