40427206400 has 432 divisors, whose sum is σ = 121643672640. Its totient is φ = 13021102080.

The previous prime is 40427206397. The next prime is 40427206427. The reversal of 40427206400 is 460272404.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1092627182 + ... + 1092627218.

Almost surely, 2^40427206400 is an apocalyptic number.

40427206400 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 40427206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60821836320).

40427206400 is an abundant number, since it is smaller than the sum of its proper divisors (81216466240).

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

40427206400 is an frugal number, since it uses more digits than its factorization.

40427206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 29.

Adding to 40427206400 its reverse (460272404), we get a palindrome (40887478804).

The spelling of 40427206400 in words is "forty billion, four hundred twenty-seven million, two hundred six thousand, four hundred".