381913421400 has 288 divisors, whose sum is σ = 1470459500640. Its totient is φ = 87018209280.

The previous prime is 381913421381. The next prime is 381913421423. The reversal of 381913421400 is 4124319183.

381913421400 is a `hidden beast` number, since 3 + 8 + 191 + 3 + 421 + 40 + 0 = 666.

It is a super-2 number, since 2×381913421400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3946392 + ... + 4042008.

It is an arithmetic number, because the mean of its divisors is an integer number (5105762155).

Almost surely, 2^381913421400 is an apocalyptic number.

381913421400 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 381913421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735229750320).

381913421400 is an abundant number, since it is smaller than the sum of its proper divisors (1088546079240).

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

381913421400 is a wasteful number, since it uses less digits than its factorization.

381913421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95963 (or 95951 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 381913421400 in words is "three hundred eighty-one billion, nine hundred thirteen million, four hundred twenty-one thousand, four hundred".