401551004000 has 96 divisors (see below), whose sum is σ = 988215935616. Its totient is φ = 160359091200.

The previous prime is 401551003991. The next prime is 401551004003. The reversal of 401551004000 is 400155104.

It is a super-2 number, since 2×401551004000² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401551004003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2386649 + ... + 2549351.

It is an arithmetic number, because the mean of its divisors is an integer number (10293915996).

Almost surely, 2^401551004000 is an apocalyptic number.

401551004000 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 401551004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494107967808).

401551004000 is an abundant number, since it is smaller than the sum of its proper divisors (586664931616).

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

401551004000 is a wasteful number, since it uses less digits than its factorization.

401551004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163345 (or 163327 counting only the distinct ones).

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

Adding to 401551004000 its reverse (400155104), we get a palindrome (401951159104).

The spelling of 401551004000 in words is "four hundred one billion, five hundred fifty-one million, four thousand".