381262141440 has 288 divisors, whose sum is σ = 1343067944400. Its totient is φ = 100001710080.

The previous prime is 381262141439. The next prime is 381262141457. The reversal of 381262141440 is 44141262183.

381262141440 is a `hidden beast` number, since 3 + 8 + 12 + 62 + 141 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 381262141395 and 381262141404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5587851 + ... + 5655669.

Almost surely, 2^381262141440 is an apocalyptic number.

381262141440 is a gapful number since it is divisible by the number (30) 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 381262141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671533972200).

381262141440 is an abundant number, since it is smaller than the sum of its proper divisors (961805802960).

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

381262141440 is a wasteful number, since it uses less digits than its factorization.

381262141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67913 (or 67890 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 381262141440 in words is "three hundred eighty-one billion, two hundred sixty-two million, one hundred forty-one thousand, four hundred forty".