401347473408000 has 3072 divisors, whose sum is σ = 1759023991296000. Its totient is φ = 85996339200000.

The previous prime is 401347473407987. The next prime is 401347473408053. The reversal of 401347473408000 is 804374743104.

401347473408000 is a `hidden beast` number, since 4 + 0 + 134 + 7 + 473 + 40 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×401347473408000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 534417407625 + ... + 534417408375.

It is an arithmetic number, because the mean of its divisors is an integer number (572598955500).

Almost surely, 2^{401347473408000} is an apocalyptic number.

401347473408000 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 401347473408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879511995648000).

401347473408000 is an abundant number, since it is smaller than the sum of its proper divisors (1357676517888000).

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

401347473408000 is a wasteful number, since it uses less digits than its factorization.

401347473408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 401347473408000 in words is "four hundred one trillion, three hundred forty-seven billion, four hundred seventy-three million, four hundred eight thousand".