401272210560 has 1024 divisors, whose sum is σ = 1526077324800. Its totient is φ = 88756715520.

The previous prime is 401272210487. The next prime is 401272210571. The reversal of 401272210560 is 65012272104.

It is a super-2 number, since 2×401272210560² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 957690031 + ... + 957690449.

Almost surely, 2^401272210560 is an apocalyptic number.

401272210560 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 401272210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763038662400).

401272210560 is an abundant number, since it is smaller than the sum of its proper divisors (1124805114240).

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

401272210560 is a wasteful number, since it uses less digits than its factorization.

401272210560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 401272210560 its reverse (65012272104), we get a palindrome (466284482664).

The spelling of 401272210560 in words is "four hundred one billion, two hundred seventy-two million, two hundred ten thousand, five hundred sixty".