401251152104 has 96 divisors (see below), whose sum is σ = 834928248000. Its totient is φ = 180635685120.

The previous prime is 401251152103. The next prime is 401251152109.

It is a happy number.

401251152104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401251152104² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401251152103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59064932 + ... + 59071724.

It is an arithmetic number, because the mean of its divisors is an integer number (8697169250).

Almost surely, 2^401251152104 is an apocalyptic number.

401251152104 is a gapful number since it is divisible by the number (44) 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 401251152104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417464124000).

401251152104 is an abundant number, since it is smaller than the sum of its proper divisors (433677095896).

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

401251152104 is a wasteful number, since it uses less digits than its factorization.

401251152104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7399 (or 7384 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 401251 and 152104, that added together give a palindrome (553355).

The spelling of 401251152104 in words is "four hundred one billion, two hundred fifty-one million, one hundred fifty-two thousand, one hundred four".