401848521120 has 384 divisors, whose sum is σ = 1465212672000. Its totient is φ = 102747709440.

The previous prime is 401848521091. The next prime is 401848521121. The reversal of 401848521120 is 21125848104.

401848521120 is a `hidden beast` number, since 4 + 0 + 1 + 8 + 4 + 8 + 521 + 120 = 666.

It is a super-2 number, since 2×401848521120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (401848521121) 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, 14583516 + ... + 14611044.

It is an arithmetic number, because the mean of its divisors is an integer number (3815658000).

Almost surely, 2^401848521120 is an apocalyptic number.

401848521120 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 401848521120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732606336000).

401848521120 is an abundant number, since it is smaller than the sum of its proper divisors (1063364150880).

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

401848521120 is a wasteful number, since it uses less digits than its factorization.

401848521120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27693 (or 27679 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 401848521120 in words is "four hundred one billion, eight hundred forty-eight million, five hundred twenty-one thousand, one hundred twenty".