1381097952000 has 1440 divisors, whose sum is σ = 5862849056064. Its totient is φ = 319832064000.

The previous prime is 1381097951993. The next prime is 1381097952061. The reversal of 1381097952000 is 2597901831.

1381097952000 is a `hidden beast` number, since 1 + 38 + 1 + 0 + 97 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 572830795 + ... + 572833205.

Almost surely, 2^{1381097952000} is an apocalyptic number.

1381097952000 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 1381097952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931424528032).

1381097952000 is an abundant number, since it is smaller than the sum of its proper divisors (4481751104064).

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

1381097952000 is a wasteful number, since it uses less digits than its factorization.

1381097952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1381097952000 in words is "one trillion, three hundred eighty-one billion, ninety-seven million, nine hundred fifty-two thousand".