401008500480 has 576 divisors, whose sum is σ = 1517360947200. Its totient is φ = 88323194880.

The previous prime is 401008500463. The next prime is 401008500481. The reversal of 401008500480 is 84005800104.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401008500481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224151426 + ... + 224153214.

It is an arithmetic number, because the mean of its divisors is an integer number (2634307200).

Almost surely, 2^401008500480 is an apocalyptic number.

401008500480 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 401008500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758680473600).

401008500480 is an abundant number, since it is smaller than the sum of its proper divisors (1116352446720).

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

401008500480 is a wasteful number, since it uses less digits than its factorization.

401008500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The spelling of 401008500480 in words is "four hundred one billion, eight million, five hundred thousand, four hundred eighty".