40471142400 has 672 divisors, whose sum is σ = 160406608320. Its totient is φ = 9944432640.

The previous prime is 40471142329. The next prime is 40471142407. The reversal of 40471142400 is 424117404.

40471142400 is a `hidden beast` number, since 404 + 7 + 1 + 14 + 240 + 0 = 666.

It is a super-2 number, since 2×40471142400² (a number of 22 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 (40471142407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71884519 + ... + 71885081.

It is an arithmetic number, because the mean of its divisors is an integer number (238700310).

Almost surely, 2^40471142400 is an apocalyptic number.

40471142400 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 40471142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80203304160).

40471142400 is an abundant number, since it is smaller than the sum of its proper divisors (119935465920).

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

40471142400 is a wasteful number, since it uses less digits than its factorization.

40471142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 586 counting only the distinct ones).

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

Adding to 40471142400 its reverse (424117404), we get a palindrome (40895259804).

The spelling of 40471142400 in words is "forty billion, four hundred seventy-one million, one hundred forty-two thousand, four hundred".