401827390380 has 1152 divisors, whose sum is σ = 1503018316800. Its totient is φ = 89248075776.

The previous prime is 401827390319. The next prime is 401827390381. The reversal of 401827390380 is 83093728104.

401827390380 is a `hidden beast` number, since 4 + 0 + 182 + 7 + 3 + 90 + 380 = 666.

It is a super-2 number, since 2×401827390380² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (401827390381) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3686489766 + ... + 3686489874.

It is an arithmetic number, because the mean of its divisors is an integer number (1304703400).

Almost surely, 2^401827390380 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 401827390380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751509158400).

401827390380 is an abundant number, since it is smaller than the sum of its proper divisors (1101190926420).

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

401827390380 is a wasteful number, since it uses less digits than its factorization.

401827390380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 401827390380 in words is "four hundred one billion, eight hundred twenty-seven million, three hundred ninety thousand, three hundred eighty".