377241640000 has 315 divisors, whose sum is σ = 973124748057. Its totient is φ = 145049472000.

The previous prime is 377241639949. The next prime is 377241640033. The reversal of 377241640000 is 46142773.

The square root of 377241640000 is 614200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 125253703744 + 251987936256 = 353912^2 + 501984^2 .

It is a super-2 number, since 2×377241640000² (a number of 24 digits) contains 22 as substring.

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 4545079959 + ... + 4545080041.

Almost surely, 2^377241640000 is an apocalyptic number.

377241640000 is the 614200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377241640000

377241640000 is an abundant number, since it is smaller than the sum of its proper divisors (595883108057).

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

377241640000 is an frugal number, since it uses more digits than its factorization.

377241640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

Adding to 377241640000 its reverse (46142773), we get a palindrome (377287782773).

The spelling of 377241640000 in words is "three hundred seventy-seven billion, two hundred forty-one million, six hundred forty thousand".