401011804560 has 640 divisors, whose sum is σ = 1395433543680. Its totient is φ = 94810963968.

The previous prime is 401011804559. The next prime is 401011804663. The reversal of 401011804560 is 65408110104.

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, 1058078451 + ... + 1058078829.

It is an arithmetic number, because the mean of its divisors is an integer number (2180364912).

Almost surely, 2^401011804560 is an apocalyptic number.

401011804560 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 401011804560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697716771840).

401011804560 is an abundant number, since it is smaller than the sum of its proper divisors (994421739120).

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

401011804560 is a wasteful number, since it uses less digits than its factorization.

401011804560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 401011804560 its reverse (65408110104), we get a palindrome (466419914664).

The spelling of 401011804560 in words is "four hundred one billion, eleven million, eight hundred four thousand, five hundred sixty".