1413013367640 has 256 divisors, whose sum is σ = 4956540825600. Its totient is φ = 315597275136.

The previous prime is 1413013367621. The next prime is 1413013367657. The reversal of 1413013367640 is 467633103141.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6327162 + ... + 6546678.

It is an arithmetic number, because the mean of its divisors is an integer number (19361487600).

Almost surely, 2^{1413013367640} is an apocalyptic number.

1413013367640 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 1413013367640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478270412800).

1413013367640 is an abundant number, since it is smaller than the sum of its proper divisors (3543527457960).

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

1413013367640 is a wasteful number, since it uses less digits than its factorization.

1413013367640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219714 (or 219710 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 1413013367640 in words is "one trillion, four hundred thirteen billion, thirteen million, three hundred sixty-seven thousand, six hundred forty".