400051241064 has 128 divisors (see below), whose sum is σ = 1149020544000. Its totient is φ = 128832768000.

The previous prime is 400051241059. The next prime is 400051241069. The reversal of 400051241064 is 460142150004.

400051241064 is a `hidden beast` number, since 40 + 0 + 0 + 512 + 4 + 106 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (400051241059) and next prime (400051241069).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (400051241069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3974592 + ... + 4074000.

It is an arithmetic number, because the mean of its divisors is an integer number (8976723000).

Almost surely, 2^400051241064 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 400051241064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574510272000).

400051241064 is an abundant number, since it is smaller than the sum of its proper divisors (748969302936).

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

400051241064 is a wasteful number, since it uses less digits than its factorization.

400051241064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100056 (or 100046 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 400051241064 its reverse (460142150004), we get a palindrome (860193391068).

The spelling of 400051241064 in words is "four hundred billion, fifty-one million, two hundred forty-one thousand, sixty-four".