401768640 has 672 divisors, whose sum is σ = 1799904960. Its totient is φ = 83607552.

The previous prime is 401768621. The next prime is 401768663. The reversal of 401768640 is 46867104.

401768640 is a `hidden beast` number, since 4 + 0 + 1 + 7 + 6 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×401768640² = 322836080174899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401768595 and 401768604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5503644 + ... + 5503716.

It is an arithmetic number, because the mean of its divisors is an integer number (2678430).

Almost surely, 2^401768640 is an apocalyptic number.

401768640 is a gapful number since it is divisible by the number (40) 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 401768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899952480).

401768640 is an abundant number, since it is smaller than the sum of its proper divisors (1398136320).

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

401768640 is a wasteful number, since it uses less digits than its factorization.

401768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 401768640 is about 20044.1672313918. The cubic root of 401768640 is about 737.8906573414.

The spelling of 401768640 in words is "four hundred one million, seven hundred sixty-eight thousand, six hundred forty".