381606619299840 has 1440 divisors, whose sum is σ = 1464053030608896. Its totient is φ = 91179051909120.

The previous prime is 381606619299667. The next prime is 381606619299847. The reversal of 381606619299840 is 48992916606183.

381606619299840 is a `hidden beast` number, since 3 + 8 + 1 + 606 + 6 + 1 + 9 + 2 + 9 + 9 + 8 + 4 + 0 = 666.

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

It is a super-2 number, since 2×381606619299840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (381606619299847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167886764944 + ... + 167886767216.

Almost surely, 2^{381606619299840} is an apocalyptic number.

381606619299840 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 381606619299840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732026515304448).

381606619299840 is an abundant number, since it is smaller than the sum of its proper divisors (1082446411309056).

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

381606619299840 is a wasteful number, since it uses less digits than its factorization.

381606619299840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 381606619299840 in words is "three hundred eighty-one trillion, six hundred six billion, six hundred nineteen million, two hundred ninety-nine thousand, eight hundred forty".