401234256665000 has 640 divisors, whose sum is σ = 1059600372842880. Its totient is φ = 141145804800000.

The previous prime is 401234256664873. The next prime is 401234256665003. The reversal of 401234256665000 is 566652432104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (401234256665003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 214220104064 + ... + 214220105936.

It is an arithmetic number, because the mean of its divisors is an integer number (1655625582567).

Almost surely, 2^{401234256665000} is an apocalyptic number.

401234256665000 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 401234256665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529800186421440).

401234256665000 is an abundant number, since it is smaller than the sum of its proper divisors (658366116177880).

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

401234256665000 is a wasteful number, since it uses less digits than its factorization.

401234256665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 44.

The spelling of 401234256665000 in words is "four hundred one trillion, two hundred thirty-four billion, two hundred fifty-six million, six hundred sixty-five thousand".