1424375414784 has 855 divisors, whose sum is σ = 5087722466673. Its totient is φ = 395965366272.

The previous prime is 1424375414723. The next prime is 1424375414809. The reversal of 1424375414784 is 4874145734241.

The square root of 1424375414784 is 1193472.

It is a perfect power (a square), and thus also a powerful number.

1424375414784 is a `hidden beast` number, since 1 + 4 + 24 + 3 + 7 + 541 + 4 + 78 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1274550681600 + 149824733184 = 1128960^2 + 387072^2 .

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

Its product of digits (12042240) is a multiple of the sum of its prime divisors (49).

It is a self number, because there is not a number n which added to its sum of digits gives 1424375414784.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38496632814 + ... + 38496632850.

Almost surely, 2^{1424375414784} is an apocalyptic number.

1424375414784 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1424375414784 is the 1193472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424375414784

1424375414784 is an abundant number, since it is smaller than the sum of its proper divisors (3663347051889).

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

1424375414784 is an frugal number, since it uses more digits than its factorization.

1424375414784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 49 counting only the distinct ones).

The product of its digits is 12042240, while the sum is 54.

The spelling of 1424375414784 in words is "one trillion, four hundred twenty-four billion, three hundred seventy-five million, four hundred fourteen thousand, seven hundred eighty-four".