1362820972032 has 400 divisors, whose sum is σ = 4412772845712. Its totient is φ = 416246169600.

The previous prime is 1362820972021. The next prime is 1362820972069. The reversal of 1362820972032 is 2302790282631.

1362820972032 is a `hidden beast` number, since 1 + 362 + 82 + 0 + 9 + 7 + 203 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73852407 + ... + 73870857.

Almost surely, 2^{1362820972032} is an apocalyptic number.

1362820972032 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 1362820972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206386422856).

1362820972032 is an abundant number, since it is smaller than the sum of its proper divisors (3049951873680).

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

1362820972032 is a wasteful number, since it uses less digits than its factorization.

1362820972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18631 (or 18606 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1362820972032 in words is "one trillion, three hundred sixty-two billion, eight hundred twenty million, nine hundred seventy-two thousand, thirty-two".