401209236960000 has 720 divisors, whose sum is σ = 1525479206194944. Its totient is φ = 91672713216000.

The previous prime is 401209236959969. The next prime is 401209236960011. The reversal of 401209236960000 is 69632902104.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10305100534 + ... + 10305139466.

Almost surely, 2^{401209236960000} is an apocalyptic number.

401209236960000 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 401209236960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762739603097472).

401209236960000 is an abundant number, since it is smaller than the sum of its proper divisors (1124269969234944).

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

401209236960000 is an equidigital number, since it uses as much as digits as its factorization.

401209236960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42046 (or 42017 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The spelling of 401209236960000 in words is "four hundred one trillion, two hundred nine billion, two hundred thirty-six million, nine hundred sixty thousand".