401547041280 has 1920 divisors, whose sum is σ = 1837718378496. Its totient is φ = 81616896000.

The previous prime is 401547041261. The next prime is 401547041293. The reversal of 401547041280 is 82140745104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×401547041280² (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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3975713230 + ... + 3975713330.

Almost surely, 2^401547041280 is an apocalyptic number.

401547041280 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 401547041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918859189248).

401547041280 is an abundant number, since it is smaller than the sum of its proper divisors (1436171337216).

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

401547041280 is a wasteful number, since it uses less digits than its factorization.

401547041280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

Adding to 401547041280 its reverse (82140745104), we get a palindrome (483687786384).

The spelling of 401547041280 in words is "four hundred one billion, five hundred forty-seven million, forty-one thousand, two hundred eighty".