1413251544320 has 288 divisors, whose sum is σ = 4271356938240. Its totient is φ = 435184312320.

The previous prime is 1413251544251. The next prime is 1413251544323. The reversal of 1413251544320 is 234451523141.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413251544323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8094101 + ... + 8266859.

It is an arithmetic number, because the mean of its divisors is an integer number (14831100480).

Almost surely, 2^{1413251544320} is an apocalyptic number.

1413251544320 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 1413251544320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135678469120).

1413251544320 is an abundant number, since it is smaller than the sum of its proper divisors (2858105393920).

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

1413251544320 is a wasteful number, since it uses less digits than its factorization.

1413251544320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172881 (or 172867 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 1413251544320 in words is "one trillion, four hundred thirteen billion, two hundred fifty-one million, five hundred forty-four thousand, three hundred twenty".