401448960000 has 1275 divisors, whose sum is σ = 1647383295943. Its totient is φ = 97320960000.

The previous prime is 401448959959. The next prime is 401448960037. The reversal of 401448960000 is 69844104.

It is a happy number.

The square root of 401448960000 is 633600.

It is a perfect power (a square), and thus also a powerful number.

401448960000 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 48 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31473598464 + 369975361536 = 177408^2 + 608256^2 .

It is a super-2 number, since 2×401448960000² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 36495359995 + ... + 36495360005.

Almost surely, 2^401448960000 is an apocalyptic number.

401448960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

401448960000 is the 633600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401448960000

401448960000 is an abundant number, since it is smaller than the sum of its proper divisors (1245934335943).

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

401448960000 is an frugal number, since it uses more digits than its factorization.

401448960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Multiplying 401448960000 by its sum of digits (36), we get a square (14452162560000 = 3801600²).

401448960000 divided by its sum of digits (36) gives a square (11151360000 = 105600²).

The spelling of 401448960000 in words is "four hundred one billion, four hundred forty-eight million, nine hundred sixty thousand".