401640120000 has 840 divisors, whose sum is σ = 1705267339776. Its totient is φ = 91787904000.

The previous prime is 401640119971. The next prime is 401640120031. The reversal of 401640120000 is 21046104.

401640120000 is a `hidden beast` number, since 4 + 0 + 1 + 640 + 1 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×401640120000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68037049 + ... + 68042951.

Almost surely, 2^401640120000 is an apocalyptic number.

401640120000 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 401640120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852633669888).

401640120000 is an abundant number, since it is smaller than the sum of its proper divisors (1303627219776).

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

401640120000 is an frugal number, since it uses more digits than its factorization.

401640120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 401640120000 its reverse (21046104), we get a palindrome (401661166104).

The spelling of 401640120000 in words is "four hundred one billion, six hundred forty million, one hundred twenty thousand".