381401991210240 has 5184 divisors, whose sum is σ = 1852008150859776. Its totient is φ = 69979521024000.

The previous prime is 381401991210223. The next prime is 381401991210241. The reversal of 381401991210240 is 42012199104183.

381401991210240 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 0 + 199 + 1 + 210 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381401991210241) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1407387421305 + ... + 1407387421575.

Almost surely, 2^{381401991210240} is an apocalyptic number.

381401991210240 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 381401991210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926004075429888).

381401991210240 is an abundant number, since it is smaller than the sum of its proper divisors (1470606159649536).

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

381401991210240 is a wasteful number, since it uses less digits than its factorization.

381401991210240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 381401991210240 in words is "three hundred eighty-one trillion, four hundred one billion, nine hundred ninety-one million, two hundred ten thousand, two hundred forty".