1381620240000 has 3840 divisors, whose sum is σ = 7014946498560. Its totient is φ = 261273600000.

The previous prime is 1381620239971. The next prime is 1381620240019. The reversal of 1381620240000 is 420261831.

1381620240000 is a `hidden beast` number, since 1 + 38 + 1 + 620 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 19459439965 + ... + 19459440035.

It is an arithmetic number, because the mean of its divisors is an integer number (1826808984).

Almost surely, 2^{1381620240000} is an apocalyptic number.

1381620240000 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 1381620240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507473249280).

1381620240000 is an abundant number, since it is smaller than the sum of its proper divisors (5633326258560).

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

1381620240000 is an equidigital number, since it uses as much as digits as its factorization.

1381620240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1381620240000 in words is "one trillion, three hundred eighty-one billion, six hundred twenty million, two hundred forty thousand".