381962480020 has 96 divisors (see below), whose sum is σ = 887570804736. Its totient is φ = 136908979200.

The previous prime is 381962479949. The next prime is 381962480023. The reversal of 381962480020 is 20084269183.

It is a super-2 number, since 2×381962480020² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381962480023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30138285 + ... + 30150955.

It is an arithmetic number, because the mean of its divisors is an integer number (9245529216).

Almost surely, 2^381962480020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381962480020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443785402368).

381962480020 is an abundant number, since it is smaller than the sum of its proper divisors (505608324716).

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

381962480020 is a wasteful number, since it uses less digits than its factorization.

381962480020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14641 (or 14639 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 381962480020 in words is "three hundred eighty-one billion, nine hundred sixty-two million, four hundred eighty thousand, twenty".