401095968 has 192 divisors, whose sum is σ = 1323705600. Its totient is φ = 105670656.

The previous prime is 401095967. The next prime is 401095987. The reversal of 401095968 is 869590104.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (401095963) 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, 427596 + ... + 428532.

It is an arithmetic number, because the mean of its divisors is an integer number (6894300).

Almost surely, 2^401095968 is an apocalyptic number.

401095968 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 401095968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661852800).

401095968 is an abundant number, since it is smaller than the sum of its proper divisors (922609632).

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

401095968 is a wasteful number, since it uses less digits than its factorization.

401095968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 401095968 is about 20027.3804577633. The cubic root of 401095968 is about 737.4786161759.

The spelling of 401095968 in words is "four hundred one million, ninety-five thousand, nine hundred sixty-eight".