381321017400 has 384 divisors, whose sum is σ = 1240956288000. Its totient is φ = 96736604160.

The previous prime is 381321017353. The next prime is 381321017419. The reversal of 381321017400 is 4710123183.

It is a super-2 number, since 2×381321017400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 471348196 + ... + 471349004.

It is an arithmetic number, because the mean of its divisors is an integer number (3231657000).

Almost surely, 2^381321017400 is an apocalyptic number.

381321017400 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 381321017400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620478144000).

381321017400 is an abundant number, since it is smaller than the sum of its proper divisors (859635270600).

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

381321017400 is a wasteful number, since it uses less digits than its factorization.

381321017400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 381321017400 in words is "three hundred eighty-one billion, three hundred twenty-one million, seventeen thousand, four hundred".