401747375040000 has 2400 divisors, whose sum is σ = 1530173937600000. Its totient is φ = 93453803520000.

The previous prime is 401747375039957. The next prime is 401747375040001. The reversal of 401747375040000 is 40573747104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×401747375040000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401747375040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 805104959751 + ... + 805104960249.

It is an arithmetic number, because the mean of its divisors is an integer number (637572474000).

Almost surely, 2^{401747375040000} is an apocalyptic number.

401747375040000 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 401747375040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765086968800000).

401747375040000 is an abundant number, since it is smaller than the sum of its proper divisors (1128426562560000).

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

401747375040000 is a wasteful number, since it uses less digits than its factorization.

401747375040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 401747375040000 in words is "four hundred one trillion, seven hundred forty-seven billion, three hundred seventy-five million, forty thousand".