401501005400 has 192 divisors, whose sum is σ = 1079154679680. Its totient is φ = 137297561600.

The previous prime is 401501005393. The next prime is 401501005441. The reversal of 401501005400 is 4500105104.

It is a super-3 number, since 3×401501005400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53366039 + ... + 53373561.

It is an arithmetic number, because the mean of its divisors is an integer number (5620597290).

Almost surely, 2^401501005400 is an apocalyptic number.

401501005400 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 401501005400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539577339840).

401501005400 is an abundant number, since it is smaller than the sum of its proper divisors (677653674280).

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

401501005400 is a wasteful number, since it uses less digits than its factorization.

401501005400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 401501005400 in words is "four hundred one billion, five hundred one million, five thousand, four hundred".