381497144400 has 360 divisors, whose sum is σ = 1362134677176. Its totient is φ = 98816409600.

The previous prime is 381497144341. The next prime is 381497144401. The reversal of 381497144400 is 4441794183.

381497144400 is a `hidden beast` number, since 3 + 8 + 14 + 97 + 144 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 193772518416 + 187724625984 = 440196^2 + 433272^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (381497144401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34385254 + ... + 34396346.

Almost surely, 2^381497144400 is an apocalyptic number.

381497144400 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 381497144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681067338588).

381497144400 is an abundant number, since it is smaller than the sum of its proper divisors (980637532776).

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

381497144400 is a wasteful number, since it uses less digits than its factorization.

381497144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11391 (or 11377 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 381497144400 in words is "three hundred eighty-one billion, four hundred ninety-seven million, one hundred forty-four thousand, four hundred".