1382431050000 has 3600 divisors, whose sum is σ = 6983915000832. Its totient is φ = 256608000000.

The previous prime is 1382431049947. The next prime is 1382431050041. The reversal of 1382431050000 is 501342831.

It is a happy number.

1382431050000 is a `hidden beast` number, since 138 + 24 + 3 + 1 + 0 + 500 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a super-2 number, since 2×1382431050000² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 44594549985 + ... + 44594550015.

Almost surely, 2^{1382431050000} is an apocalyptic number.

1382431050000 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 1382431050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491957500416).

1382431050000 is an abundant number, since it is smaller than the sum of its proper divisors (5601483950832).

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

1382431050000 is a wasteful number, since it uses less digits than its factorization.

1382431050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1382431050000 its reverse (501342831), we get a palindrome (1382932392831).

The spelling of 1382431050000 in words is "one trillion, three hundred eighty-two billion, four hundred thirty-one million, fifty thousand".