401741104370688 has 1056 divisors, whose sum is σ = 1307481524444160. Its totient is φ = 118150240665600.

The previous prime is 401741104370687. The next prime is 401741104370693. The reversal of 401741104370688 is 886073401147104.

401741104370688 is a `hidden beast` number, since 4 + 0 + 17 + 4 + 110 + 437 + 0 + 6 + 88 = 666.

It is a super-2 number, since 2×401741104370688² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401741104370687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39000199138 + ... + 39000209438.

Almost surely, 2^{401741104370688} is an apocalyptic number.

401741104370688 is a gapful number since it is divisible by the number (48) 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 401741104370688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653740762222080).

401741104370688 is an abundant number, since it is smaller than the sum of its proper divisors (905740420073472).

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

401741104370688 is a wasteful number, since it uses less digits than its factorization.

401741104370688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10583 (or 10562 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 401741104370688 in words is "four hundred one trillion, seven hundred forty-one billion, one hundred four million, three hundred seventy thousand, six hundred eighty-eight".