401471402400 has 576 divisors, whose sum is σ = 1523552486400. Its totient is φ = 101896704000.

The previous prime is 401471402383. The next prime is 401471402407. The reversal of 401471402400 is 4204174104.

401471402400 is a `hidden beast` number, since 401 + 4 + 7 + 14 + 0 + 240 + 0 = 666.

It is a super-2 number, since 2×401471402400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (401471402407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40840686 + ... + 40850514.

It is an arithmetic number, because the mean of its divisors is an integer number (2645056400).

Almost surely, 2^401471402400 is an apocalyptic number.

401471402400 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 401471402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761776243200).

401471402400 is an abundant number, since it is smaller than the sum of its proper divisors (1122081084000).

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

401471402400 is a wasteful number, since it uses less digits than its factorization.

401471402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9950 (or 9931 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 401471402400 its reverse (4204174104), we get a palindrome (405675576504).

The spelling of 401471402400 in words is "four hundred one billion, four hundred seventy-one million, four hundred two thousand, four hundred".