401351626153104 has 160 divisors (see below), whose sum is σ = 1153047114261504. Its totient is φ = 119262334563840.

The previous prime is 401351626153103. The next prime is 401351626153117.

401351626153104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401351626153104² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401351626153103) 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, 47803887 + ... + 55569009.

Almost surely, 2^{401351626153104} is an apocalyptic number.

401351626153104 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 401351626153104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576523557130752).

401351626153104 is an abundant number, since it is smaller than the sum of its proper divisors (751695488108400).

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

401351626153104 is a wasteful number, since it uses less digits than its factorization.

401351626153104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7767045 (or 7767039 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 401351626153104 in words is "four hundred one trillion, three hundred fifty-one billion, six hundred twenty-six million, one hundred fifty-three thousand, one hundred four".