401228820000 has 270 divisors, whose sum is σ = 1426742293977. Its totient is φ = 106922688000.

The previous prime is 401228819891. The next prime is 401228820001. The reversal of 401228820000 is 28822104.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 7512728976 + 393716091024 = 86676^2 + 627468^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=447900.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (401228820001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 268739254 + ... + 268740746.

Almost surely, 2^401228820000 is an apocalyptic number.

401228820000 is a gapful number since it is divisible by the number (40) 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 401228820000

401228820000 is an abundant number, since it is smaller than the sum of its proper divisors (1025513473977).

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

401228820000 is an frugal number, since it uses more digits than its factorization.

401228820000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Multiplying 401228820000 by its product of nonzero digits (2048), we get a square (821716623360000 = 28665600²).

The spelling of 401228820000 in words is "four hundred one billion, two hundred twenty-eight million, eight hundred twenty thousand".