401542044240000 has 320 divisors, whose sum is σ = 1355408621028000. Its totient is φ = 105262995456000.

The previous prime is 401542044239993. The next prime is 401542044240013. The reversal of 401542044240000 is 42440245104.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×401542044240000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 401542044240000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18745 + ... + 28338744.

Almost surely, 2^{401542044240000} is an apocalyptic number.

401542044240000 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 401542044240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677704310514000).

401542044240000 is an abundant number, since it is smaller than the sum of its proper divisors (953866576788000).

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

401542044240000 is an equidigital number, since it uses as much as digits as its factorization.

401542044240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28357585 (or 28357558 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 401542044240000 its reverse (42440245104), we get a palindrome (401584484485104).

The spelling of 401542044240000 in words is "four hundred one trillion, five hundred forty-two billion, forty-four million, two hundred forty thousand".