381401996820 has 192 divisors, whose sum is σ = 1189273860096. Its totient is φ = 90694287360.

The previous prime is 381401996819. The next prime is 381401996827. The reversal of 381401996820 is 28699104183.

It is a super-2 number, since 2×381401996820² (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 (381401996827) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13938192 + ... + 13965528.

It is an arithmetic number, because the mean of its divisors is an integer number (6194134688).

Almost surely, 2^381401996820 is an apocalyptic number.

381401996820 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 381401996820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594636930048).

381401996820 is an abundant number, since it is smaller than the sum of its proper divisors (807871863276).

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

381401996820 is a wasteful number, since it uses less digits than its factorization.

381401996820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27970 (or 27968 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 381401996820 in words is "three hundred eighty-one billion, four hundred one million, nine hundred ninety-six thousand, eight hundred twenty".