401348814773088 has 384 divisors, whose sum is σ = 1327163499712512. Its totient is φ = 103361869449216.

The previous prime is 401348814773047. The next prime is 401348814773099. The reversal of 401348814773088 is 880377418843104.

It is a super-2 number, since 2×401348814773088² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1473530931 + ... + 1473803277.

It is an arithmetic number, because the mean of its divisors is an integer number (3456154947168).

Almost surely, 2^{401348814773088} is an apocalyptic number.

401348814773088 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 401348814773088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663581749856256).

401348814773088 is an abundant number, since it is smaller than the sum of its proper divisors (925814684939424).

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

401348814773088 is a wasteful number, since it uses less digits than its factorization.

401348814773088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276346 (or 276338 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 401348814773088 in words is "four hundred one trillion, three hundred forty-eight billion, eight hundred fourteen million, seven hundred seventy-three thousand, eighty-eight".