40126310400 has 864 divisors, whose sum is σ = 155600040960. Its totient is φ = 9083289600.

The previous prime is 40126310363. The next prime is 40126310461. The reversal of 40126310400 is 401362104.

It is a super-2 number, since 2×40126310400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 315955137 + ... + 315955263.

It is an arithmetic number, because the mean of its divisors is an integer number (180092640).

Almost surely, 2^40126310400 is an apocalyptic number.

40126310400 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 40126310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77800020480).

40126310400 is an abundant number, since it is smaller than the sum of its proper divisors (115473730560).

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

40126310400 is a wasteful number, since it uses less digits than its factorization.

40126310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 40126310400 its reverse (401362104), we get a palindrome (40527672504).

The spelling of 40126310400 in words is "forty billion, one hundred twenty-six million, three hundred ten thousand, four hundred".