1138420713024 has 945 divisors, whose sum is σ = 4122086200947. Its totient is φ = 309745078272.

The previous prime is 1138420713013. The next prime is 1138420713061. The reversal of 1138420713024 is 4203170248311.

The square root of 1138420713024 is 1066968.

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

1138420713024 is a `hidden beast` number, since 1 + 138 + 420 + 71 + 30 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9658958400 + 1128761754624 = 98280^2 + 1062432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1138420713024.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15594804252 + ... + 15594804324.

Almost surely, 2^{1138420713024} is an apocalyptic number.

1138420713024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1138420713024 is the 1066968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138420713024

1138420713024 is an abundant number, since it is smaller than the sum of its proper divisors (2983665487923).

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

1138420713024 is an frugal number, since it uses more digits than its factorization.

1138420713024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 1138420713024 by its sum of digits (36), we get a square (40983145668864 = 6401808²).

1138420713024 divided by its sum of digits (36) gives a square (31622797584 = 177828²).

The spelling of 1138420713024 in words is "one trillion, one hundred thirty-eight billion, four hundred twenty million, seven hundred thirteen thousand, twenty-four".