381407554752 has 336 divisors, whose sum is σ = 1204496399232. Its totient is φ = 106169978880.

The previous prime is 381407554747. The next prime is 381407554753. The reversal of 381407554752 is 257455704183.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 381407554695 and 381407554704.

It is not an unprimeable number, because it can be changed into a prime (381407554753) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56999727 + ... + 57006417.

It is an arithmetic number, because the mean of its divisors is an integer number (3584810712).

Almost surely, 2^381407554752 is an apocalyptic number.

381407554752 is a gapful number since it is divisible by the number (32) 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 381407554752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602248199616).

381407554752 is an abundant number, since it is smaller than the sum of its proper divisors (823088844480).

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

381407554752 is a wasteful number, since it uses less digits than its factorization.

381407554752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876 (or 6859 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 51.

The spelling of 381407554752 in words is "three hundred eighty-one billion, four hundred seven million, five hundred fifty-four thousand, seven hundred fifty-two".