1381512424032 has 576 divisors, whose sum is σ = 4450765838400. Its totient is φ = 416644300800.

The previous prime is 1381512424031. The next prime is 1381512424111. The reversal of 1381512424032 is 2304242151831.

1381512424032 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 5 + 1 + 242 + 403 + 2 = 666.

It is a super-2 number, since 2×1381512424032² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381512424031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1666480194 + ... + 1666481022.

It is an arithmetic number, because the mean of its divisors is an integer number (7727024025).

Almost surely, 2^{1381512424032} is an apocalyptic number.

1381512424032 is a gapful number since it is divisible by the number (12) 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 1381512424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225382919200).

1381512424032 is an abundant number, since it is smaller than the sum of its proper divisors (3069253414368).

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

1381512424032 is a wasteful number, since it uses less digits than its factorization.

1381512424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 1381512424032 its reverse (2304242151831), we get a palindrome (3685754575863).

The spelling of 1381512424032 in words is "one trillion, three hundred eighty-one billion, five hundred twelve million, four hundred twenty-four thousand, thirty-two".